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Finding the Fourth Proportional to 406,497.46, 609,746.43 and 169,711.06

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Solution

The fourth proportional to 406,497.46, 609,746.43 and 169,711.06 is: 254,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,497.46 : 609,746.43 = 169,711.06 : x
  2. Step 2: Convert to fraction form
    406,497.46/609,746.43 = 169,711.06/x
  3. Step 3: Cross multiply
    406,497.46x = 609,746.43 × 169,711.06
  4. Step 4: Simplify right side
    406,497.46x = 103,480,712,966.52
  5. Step 5: Solve for x
    x = 103,480,712,966.52/406,497.46
  6. Step 6: Final answer
    x = 254,566.69

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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.