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Finding the Fourth Proportional to 588,030.16, 811,712.41 and 416,842.90

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Solution

The fourth proportional to 588,030.16, 811,712.41 and 416,842.90 is: 575,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,030.16 : 811,712.41 = 416,842.90 : x
  2. Step 2: Convert to fraction form
    588,030.16/811,712.41 = 416,842.90/x
  3. Step 3: Cross multiply
    588,030.16x = 811,712.41 × 416,842.90
  4. Step 4: Simplify right side
    588,030.16x = 338,356,552,866.18
  5. Step 5: Solve for x
    x = 338,356,552,866.18/588,030.16
  6. Step 6: Final answer
    x = 575,406.81

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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.