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Finding the Fourth Proportional to 473,968.12, 711,131.76 and 284,560.76

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Solution

The fourth proportional to 473,968.12, 711,131.76 and 284,560.76 is: 426,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,968.12 : 711,131.76 = 284,560.76 : x
  2. Step 2: Convert to fraction form
    473,968.12/711,131.76 = 284,560.76/x
  3. Step 3: Cross multiply
    473,968.12x = 711,131.76 × 284,560.76
  4. Step 4: Simplify right side
    473,968.12x = 202,360,194,085.74
  5. Step 5: Solve for x
    x = 202,360,194,085.74/473,968.12
  6. Step 6: Final answer
    x = 426,948.96

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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.