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Finding the Fourth Proportional to 406,547.16, 610,379.31 and 207,001.62

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Solution

The fourth proportional to 406,547.16, 610,379.31 and 207,001.62 is: 310,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,547.16 : 610,379.31 = 207,001.62 : x
  2. Step 2: Convert to fraction form
    406,547.16/610,379.31 = 207,001.62/x
  3. Step 3: Cross multiply
    406,547.16x = 610,379.31 × 207,001.62
  4. Step 4: Simplify right side
    406,547.16x = 126,349,505,984.48
  5. Step 5: Solve for x
    x = 126,349,505,984.48/406,547.16
  6. Step 6: Final answer
    x = 310,786.84

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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.