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Finding the Fourth Proportional to 661,343.64, 911,809.14 and 428,359.38

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Solution

The fourth proportional to 661,343.64, 911,809.14 and 428,359.38 is: 590,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,343.64 : 911,809.14 = 428,359.38 : x
  2. Step 2: Convert to fraction form
    661,343.64/911,809.14 = 428,359.38/x
  3. Step 3: Cross multiply
    661,343.64x = 911,809.14 × 428,359.38
  4. Step 4: Simplify right side
    661,343.64x = 390,581,997,888.73
  5. Step 5: Solve for x
    x = 390,581,997,888.73/661,343.64
  6. Step 6: Final answer
    x = 590,588.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.