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Finding the Fourth Proportional to 409,807.20, 614,710.80 and 232,660.20

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Solution

The fourth proportional to 409,807.20, 614,710.80 and 232,660.20 is: 348,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,807.20 : 614,710.80 = 232,660.20 : x
  2. Step 2: Convert to fraction form
    409,807.20/614,710.80 = 232,660.20/x
  3. Step 3: Cross multiply
    409,807.20x = 614,710.80 × 232,660.20
  4. Step 4: Simplify right side
    409,807.20x = 143,018,737,670.16
  5. Step 5: Solve for x
    x = 143,018,737,670.16/409,807.20
  6. Step 6: Final answer
    x = 348,990.30

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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.