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Finding the Fourth Proportional to 473,722.60, 709,547.10 and 411,514.60

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Solution

The fourth proportional to 473,722.60, 709,547.10 and 411,514.60 is: 616,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,722.60 : 709,547.10 = 411,514.60 : x
  2. Step 2: Convert to fraction form
    473,722.60/709,547.10 = 411,514.60/x
  3. Step 3: Cross multiply
    473,722.60x = 709,547.10 × 411,514.60
  4. Step 4: Simplify right side
    473,722.60x = 291,988,991,037.66
  5. Step 5: Solve for x
    x = 291,988,991,037.66/473,722.60
  6. Step 6: Final answer
    x = 616,371.25

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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.