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Finding the Fourth Proportional to 437,685.32, 656,433.18 and 117,829.28

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Solution

The fourth proportional to 437,685.32, 656,433.18 and 117,829.28 is: 176,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,685.32 : 656,433.18 = 117,829.28 : x
  2. Step 2: Convert to fraction form
    437,685.32/656,433.18 = 117,829.28/x
  3. Step 3: Cross multiply
    437,685.32x = 656,433.18 × 117,829.28
  4. Step 4: Simplify right side
    437,685.32x = 77,347,048,967.51
  5. Step 5: Solve for x
    x = 77,347,048,967.51/437,685.32
  6. Step 6: Final answer
    x = 176,718.40

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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.