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Finding the Fourth Proportional to 522,050.40, 783,075.60 and 457,768.80

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Solution

The fourth proportional to 522,050.40, 783,075.60 and 457,768.80 is: 686,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,050.40 : 783,075.60 = 457,768.80 : x
  2. Step 2: Convert to fraction form
    522,050.40/783,075.60 = 457,768.80/x
  3. Step 3: Cross multiply
    522,050.40x = 783,075.60 × 457,768.80
  4. Step 4: Simplify right side
    522,050.40x = 358,467,577,721.28
  5. Step 5: Solve for x
    x = 358,467,577,721.28/522,050.40
  6. Step 6: Final answer
    x = 686,653.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.