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Finding the Fourth Proportional to 516,681.84, 713,106.60 and 301,821.24

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Solution

The fourth proportional to 516,681.84, 713,106.60 and 301,821.24 is: 416,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,681.84 : 713,106.60 = 301,821.24 : x
  2. Step 2: Convert to fraction form
    516,681.84/713,106.60 = 301,821.24/x
  3. Step 3: Cross multiply
    516,681.84x = 713,106.60 × 301,821.24
  4. Step 4: Simplify right side
    516,681.84x = 215,230,718,264.18
  5. Step 5: Solve for x
    x = 215,230,718,264.18/516,681.84
  6. Step 6: Final answer
    x = 416,563.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.