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Finding the Fourth Proportional to 614,740.30, 922,801.65 and 475,117.90

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Solution

The fourth proportional to 614,740.30, 922,801.65 and 475,117.90 is: 713,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,740.30 : 922,801.65 = 475,117.90 : x
  2. Step 2: Convert to fraction form
    614,740.30/922,801.65 = 475,117.90/x
  3. Step 3: Cross multiply
    614,740.30x = 922,801.65 × 475,117.90
  4. Step 4: Simplify right side
    614,740.30x = 438,439,582,064.54
  5. Step 5: Solve for x
    x = 438,439,582,064.54/614,740.30
  6. Step 6: Final answer
    x = 713,211.06

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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.