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Finding the Fourth Proportional to 576,454.83, 865,994.45 and 417,022.53

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Solution

The fourth proportional to 576,454.83, 865,994.45 and 417,022.53 is: 626,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,454.83 : 865,994.45 = 417,022.53 : x
  2. Step 2: Convert to fraction form
    576,454.83/865,994.45 = 417,022.53/x
  3. Step 3: Cross multiply
    576,454.83x = 865,994.45 × 417,022.53
  4. Step 4: Simplify right side
    576,454.83x = 361,139,194,419.85
  5. Step 5: Solve for x
    x = 361,139,194,419.85/576,454.83
  6. Step 6: Final answer
    x = 626,483.07

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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.