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Finding the Fourth Proportional to 668,337.66, 1,001,054.33 and 411,387.03

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Solution

The fourth proportional to 668,337.66, 1,001,054.33 and 411,387.03 is: 616,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,337.66 : 1,001,054.33 = 411,387.03 : x
  2. Step 2: Convert to fraction form
    668,337.66/1,001,054.33 = 411,387.03/x
  3. Step 3: Cross multiply
    668,337.66x = 1,001,054.33 × 411,387.03
  4. Step 4: Simplify right side
    668,337.66x = 411,820,767,173.11
  5. Step 5: Solve for x
    x = 411,820,767,173.11/668,337.66
  6. Step 6: Final answer
    x = 616,186.68

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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.