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Finding the Fourth Proportional to 406,127, 560,377.50 and 262,867.16

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Solution

The fourth proportional to 406,127, 560,377.50 and 262,867.16 is: 362,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,127 : 560,377.50 = 262,867.16 : x
  2. Step 2: Convert to fraction form
    406,127/560,377.50 = 262,867.16/x
  3. Step 3: Cross multiply
    406,127x = 560,377.50 × 262,867.16
  4. Step 4: Simplify right side
    406,127x = 147,304,841,952.90
  5. Step 5: Solve for x
    x = 147,304,841,952.90/406,127
  6. Step 6: Final answer
    x = 362,706.35

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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.