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Finding the Fourth Proportional to 473,673.60, 709,473.60 and 411,465.60

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Solution

The fourth proportional to 473,673.60, 709,473.60 and 411,465.60 is: 616,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,673.60 : 709,473.60 = 411,465.60 : x
  2. Step 2: Convert to fraction form
    473,673.60/709,473.60 = 411,465.60/x
  3. Step 3: Cross multiply
    473,673.60x = 709,473.60 × 411,465.60
  4. Step 4: Simplify right side
    473,673.60x = 291,923,980,508.16
  5. Step 5: Solve for x
    x = 291,923,980,508.16/473,673.60
  6. Step 6: Final answer
    x = 616,297.76

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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.