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Finding the Fourth Proportional to 610,509.15, 842,545.80 and 338,602.95

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Solution

The fourth proportional to 610,509.15, 842,545.80 and 338,602.95 is: 467,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,509.15 : 842,545.80 = 338,602.95 : x
  2. Step 2: Convert to fraction form
    610,509.15/842,545.80 = 338,602.95/x
  3. Step 3: Cross multiply
    610,509.15x = 842,545.80 × 338,602.95
  4. Step 4: Simplify right side
    610,509.15x = 285,288,493,390.11
  5. Step 5: Solve for x
    x = 285,288,493,390.11/610,509.15
  6. Step 6: Final answer
    x = 467,296.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.