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Finding the Fourth Proportional to 708,863.16, 978,307.03 and 433,382.66

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Solution

The fourth proportional to 708,863.16, 978,307.03 and 433,382.66 is: 598,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,863.16 : 978,307.03 = 433,382.66 : x
  2. Step 2: Convert to fraction form
    708,863.16/978,307.03 = 433,382.66/x
  3. Step 3: Cross multiply
    708,863.16x = 978,307.03 × 433,382.66
  4. Step 4: Simplify right side
    708,863.16x = 423,981,301,595.79
  5. Step 5: Solve for x
    x = 423,981,301,595.79/708,863.16
  6. Step 6: Final answer
    x = 598,114.45

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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.