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Finding the Fourth Proportional to 506,741.57, 760,230.62 and 146,919.93

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Solution

The fourth proportional to 506,741.57, 760,230.62 and 146,919.93 is: 220,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,741.57 : 760,230.62 = 146,919.93 : x
  2. Step 2: Convert to fraction form
    506,741.57/760,230.62 = 146,919.93/x
  3. Step 3: Cross multiply
    506,741.57x = 760,230.62 × 146,919.93
  4. Step 4: Simplify right side
    506,741.57x = 111,693,029,474.26
  5. Step 5: Solve for x
    x = 111,693,029,474.26/506,741.57
  6. Step 6: Final answer
    x = 220,414.18

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1.5x scale

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.