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Finding the Fourth Proportional to 515,854.13, 711,900.93 and 286,411.43

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Solution

The fourth proportional to 515,854.13, 711,900.93 and 286,411.43 is: 395,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,854.13 : 711,900.93 = 286,411.43 : x
  2. Step 2: Convert to fraction form
    515,854.13/711,900.93 = 286,411.43/x
  3. Step 3: Cross multiply
    515,854.13x = 711,900.93 × 286,411.43
  4. Step 4: Simplify right side
    515,854.13x = 203,896,559,820.13
  5. Step 5: Solve for x
    x = 203,896,559,820.13/515,854.13
  6. Step 6: Final answer
    x = 395,260.11

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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.