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Finding the Fourth Proportional to 475,417.64, 711,519.06 and 462,623.78

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Solution

The fourth proportional to 475,417.64, 711,519.06 and 462,623.78 is: 692,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,417.64 : 711,519.06 = 462,623.78 : x
  2. Step 2: Convert to fraction form
    475,417.64/711,519.06 = 462,623.78/x
  3. Step 3: Cross multiply
    475,417.64x = 711,519.06 × 462,623.78
  4. Step 4: Simplify right side
    475,417.64x = 329,165,637,079.25
  5. Step 5: Solve for x
    x = 329,165,637,079.25/475,417.64
  6. Step 6: Final answer
    x = 692,371.53

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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.