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Finding the Fourth Proportional to 406,681.40, 609,584.70 and 153,864.20

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Solution

The fourth proportional to 406,681.40, 609,584.70 and 153,864.20 is: 230,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,681.40 : 609,584.70 = 153,864.20 : x
  2. Step 2: Convert to fraction form
    406,681.40/609,584.70 = 153,864.20/x
  3. Step 3: Cross multiply
    406,681.40x = 609,584.70 × 153,864.20
  4. Step 4: Simplify right side
    406,681.40x = 93,793,262,197.74
  5. Step 5: Solve for x
    x = 93,793,262,197.74/406,681.40
  6. Step 6: Final answer
    x = 230,630.81

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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.