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Finding the Fourth Proportional to 402,849.47, 604,313.66 and 146,751.64

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Solution

The fourth proportional to 402,849.47, 604,313.66 and 146,751.64 is: 220,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,849.47 : 604,313.66 = 146,751.64 : x
  2. Step 2: Convert to fraction form
    402,849.47/604,313.66 = 146,751.64/x
  3. Step 3: Cross multiply
    402,849.47x = 604,313.66 × 146,751.64
  4. Step 4: Simplify right side
    402,849.47x = 88,684,019,535.50
  5. Step 5: Solve for x
    x = 88,684,019,535.50/402,849.47
  6. Step 6: Final answer
    x = 220,141.83

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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.