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Finding the Fourth Proportional to 865,344.80, 1,298,017.20 and 771,341.60

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Solution

The fourth proportional to 865,344.80, 1,298,017.20 and 771,341.60 is: 1,157,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,344.80 : 1,298,017.20 = 771,341.60 : x
  2. Step 2: Convert to fraction form
    865,344.80/1,298,017.20 = 771,341.60/x
  3. Step 3: Cross multiply
    865,344.80x = 1,298,017.20 × 771,341.60
  4. Step 4: Simplify right side
    865,344.80x = 1,001,214,663,875.52
  5. Step 5: Solve for x
    x = 1,001,214,663,875.52/865,344.80
  6. Step 6: Final answer
    x = 1,157,012.40

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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.