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Finding the Fourth Proportional to 589,353.17, 884,648.16 and 522,314.10

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Solution

The fourth proportional to 589,353.17, 884,648.16 and 522,314.10 is: 784,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,353.17 : 884,648.16 = 522,314.10 : x
  2. Step 2: Convert to fraction form
    589,353.17/884,648.16 = 522,314.10/x
  3. Step 3: Cross multiply
    589,353.17x = 884,648.16 × 522,314.10
  4. Step 4: Simplify right side
    589,353.17x = 462,064,207,507.06
  5. Step 5: Solve for x
    x = 462,064,207,507.06/589,353.17
  6. Step 6: Final answer
    x = 784,019.22

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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.