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Finding the Fourth Proportional to 406,142, 560,398.16 and 262,882.16

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Solution

The fourth proportional to 406,142, 560,398.16 and 262,882.16 is: 362,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,142 : 560,398.16 = 262,882.16 : x
  2. Step 2: Convert to fraction form
    406,142/560,398.16 = 262,882.16/x
  3. Step 3: Cross multiply
    406,142x = 560,398.16 × 262,882.16
  4. Step 4: Simplify right side
    406,142x = 147,318,678,760.83
  5. Step 5: Solve for x
    x = 147,318,678,760.83/406,142
  6. Step 6: Final answer
    x = 362,727.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.