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Finding the Fourth Proportional to 410,152.20, 616,394.70 and 358,830.60

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Solution

The fourth proportional to 410,152.20, 616,394.70 and 358,830.60 is: 539,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152.20 : 616,394.70 = 358,830.60 : x
  2. Step 2: Convert to fraction form
    410,152.20/616,394.70 = 358,830.60/x
  3. Step 3: Cross multiply
    410,152.20x = 616,394.70 × 358,830.60
  4. Step 4: Simplify right side
    410,152.20x = 221,181,280,037.82
  5. Step 5: Solve for x
    x = 221,181,280,037.82/410,152.20
  6. Step 6: Final answer
    x = 539,266.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.