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Finding the Fourth Proportional to 475,947.89, 713,924.28 and 160,407.53

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Solution

The fourth proportional to 475,947.89, 713,924.28 and 160,407.53 is: 240,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,947.89 : 713,924.28 = 160,407.53 : x
  2. Step 2: Convert to fraction form
    475,947.89/713,924.28 = 160,407.53/x
  3. Step 3: Cross multiply
    475,947.89x = 713,924.28 × 160,407.53
  4. Step 4: Simplify right side
    475,947.89x = 114,518,830,361.83
  5. Step 5: Solve for x
    x = 114,518,830,361.83/475,947.89
  6. Step 6: Final answer
    x = 240,612.12

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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.