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Finding the Fourth Proportional to 586,411.98, 808,831.27 and 538,169.73

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Solution

The fourth proportional to 586,411.98, 808,831.27 and 538,169.73 is: 742,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,411.98 : 808,831.27 = 538,169.73 : x
  2. Step 2: Convert to fraction form
    586,411.98/808,831.27 = 538,169.73/x
  3. Step 3: Cross multiply
    586,411.98x = 808,831.27 × 538,169.73
  4. Step 4: Simplify right side
    586,411.98x = 435,288,506,191.46
  5. Step 5: Solve for x
    x = 435,288,506,191.46/586,411.98
  6. Step 6: Final answer
    x = 742,291.29

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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.