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Finding the Fourth Proportional to 525,200.40, 785,986.20 and 314,989.20

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Solution

The fourth proportional to 525,200.40, 785,986.20 and 314,989.20 is: 471,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,200.40 : 785,986.20 = 314,989.20 : x
  2. Step 2: Convert to fraction form
    525,200.40/785,986.20 = 314,989.20/x
  3. Step 3: Cross multiply
    525,200.40x = 785,986.20 × 314,989.20
  4. Step 4: Simplify right side
    525,200.40x = 247,577,164,349.04
  5. Step 5: Solve for x
    x = 247,577,164,349.04/525,200.40
  6. Step 6: Final answer
    x = 471,395.61

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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.