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Finding the Fourth Proportional to 576,461.83, 866,004.95 and 417,029.53

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Solution

The fourth proportional to 576,461.83, 866,004.95 and 417,029.53 is: 626,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,461.83 : 866,004.95 = 417,029.53 : x
  2. Step 2: Convert to fraction form
    576,461.83/866,004.95 = 417,029.53/x
  3. Step 3: Cross multiply
    576,461.83x = 866,004.95 × 417,029.53
  4. Step 4: Simplify right side
    576,461.83x = 361,149,637,276.17
  5. Step 5: Solve for x
    x = 361,149,637,276.17/576,461.83
  6. Step 6: Final answer
    x = 626,493.58

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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.