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Finding the Fourth Proportional to 406,002.93, 560,277.24 and 224,710.98

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Solution

The fourth proportional to 406,002.93, 560,277.24 and 224,710.98 is: 310,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,002.93 : 560,277.24 = 224,710.98 : x
  2. Step 2: Convert to fraction form
    406,002.93/560,277.24 = 224,710.98/x
  3. Step 3: Cross multiply
    406,002.93x = 560,277.24 × 224,710.98
  4. Step 4: Simplify right side
    406,002.93x = 125,900,447,672.10
  5. Step 5: Solve for x
    x = 125,900,447,672.10/406,002.93
  6. Step 6: Final answer
    x = 310,097.39

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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.