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Finding the Fourth Proportional to 473,641.60, 710,224.32 and 157,989.76

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Solution

The fourth proportional to 473,641.60, 710,224.32 and 157,989.76 is: 236,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,641.60 : 710,224.32 = 157,989.76 : x
  2. Step 2: Convert to fraction form
    473,641.60/710,224.32 = 157,989.76/x
  3. Step 3: Cross multiply
    473,641.60x = 710,224.32 × 157,989.76
  4. Step 4: Simplify right side
    473,641.60x = 112,208,169,862.96
  5. Step 5: Solve for x
    x = 112,208,169,862.96/473,641.60
  6. Step 6: Final answer
    x = 236,905.23

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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.