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Finding the Fourth Proportional to 410,802.93, 615,285.55 and 237,482.31

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Solution

The fourth proportional to 410,802.93, 615,285.55 and 237,482.31 is: 355,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,802.93 : 615,285.55 = 237,482.31 : x
  2. Step 2: Convert to fraction form
    410,802.93/615,285.55 = 237,482.31/x
  3. Step 3: Cross multiply
    410,802.93x = 615,285.55 × 237,482.31
  4. Step 4: Simplify right side
    410,802.93x = 146,119,430,635.38
  5. Step 5: Solve for x
    x = 146,119,430,635.38/410,802.93
  6. Step 6: Final answer
    x = 355,692.28

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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.