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Finding the Fourth Proportional to 784,681.32, 1,082,978.41 and 478,935.38

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Solution

The fourth proportional to 784,681.32, 1,082,978.41 and 478,935.38 is: 661,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,681.32 : 1,082,978.41 = 478,935.38 : x
  2. Step 2: Convert to fraction form
    784,681.32/1,082,978.41 = 478,935.38/x
  3. Step 3: Cross multiply
    784,681.32x = 1,082,978.41 × 478,935.38
  4. Step 4: Simplify right side
    784,681.32x = 518,676,673,988.51
  5. Step 5: Solve for x
    x = 518,676,673,988.51/784,681.32
  6. Step 6: Final answer
    x = 661,002.95

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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.