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Finding the Fourth Proportional to 1,428,636.96, 1,971,455.76 and 784,058.40

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Solution

The fourth proportional to 1,428,636.96, 1,971,455.76 and 784,058.40 is: 1,081,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,636.96 : 1,971,455.76 = 784,058.40 : x
  2. Step 2: Convert to fraction form
    1,428,636.96/1,971,455.76 = 784,058.40/x
  3. Step 3: Cross multiply
    1,428,636.96x = 1,971,455.76 × 784,058.40
  4. Step 4: Simplify right side
    1,428,636.96x = 1,545,736,448,856.38
  5. Step 5: Solve for x
    x = 1,545,736,448,856.38/1,428,636.96
  6. Step 6: Final answer
    x = 1,081,965.88

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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.