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Finding the Fourth Proportional to 576,894.96, 864,167.36 and 470,657.52

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Solution

The fourth proportional to 576,894.96, 864,167.36 and 470,657.52 is: 705,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,894.96 : 864,167.36 = 470,657.52 : x
  2. Step 2: Convert to fraction form
    576,894.96/864,167.36 = 470,657.52/x
  3. Step 3: Cross multiply
    576,894.96x = 864,167.36 × 470,657.52
  4. Step 4: Simplify right side
    576,894.96x = 406,726,866,522.55
  5. Step 5: Solve for x
    x = 406,726,866,522.55/576,894.96
  6. Step 6: Final answer
    x = 705,027.60

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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.