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Finding the Fourth Proportional to 475,549.71, 713,417.81 and 176,032.86

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Solution

The fourth proportional to 475,549.71, 713,417.81 and 176,032.86 is: 264,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549.71 : 713,417.81 = 176,032.86 : x
  2. Step 2: Convert to fraction form
    475,549.71/713,417.81 = 176,032.86/x
  3. Step 3: Cross multiply
    475,549.71x = 713,417.81 × 176,032.86
  4. Step 4: Simplify right side
    475,549.71x = 125,584,976,589.07
  5. Step 5: Solve for x
    x = 125,584,976,589.07/475,549.71
  6. Step 6: Final answer
    x = 264,083.80

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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.