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Finding the Fourth Proportional to 475,943.78, 713,918.14 and 160,403.42

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Solution

The fourth proportional to 475,943.78, 713,918.14 and 160,403.42 is: 240,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,943.78 : 713,918.14 = 160,403.42 : x
  2. Step 2: Convert to fraction form
    475,943.78/713,918.14 = 160,403.42/x
  3. Step 3: Cross multiply
    475,943.78x = 713,918.14 × 160,403.42
  4. Step 4: Simplify right side
    475,943.78x = 114,514,912,639.83
  5. Step 5: Solve for x
    x = 114,514,912,639.83/475,943.78
  6. Step 6: Final answer
    x = 240,605.96

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1.5x scale

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.