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Finding the Fourth Proportional to 589,007.42, 812,808.70 and 359,948.10

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Solution

The fourth proportional to 589,007.42, 812,808.70 and 359,948.10 is: 496,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,007.42 : 812,808.70 = 359,948.10 : x
  2. Step 2: Convert to fraction form
    589,007.42/812,808.70 = 359,948.10/x
  3. Step 3: Cross multiply
    589,007.42x = 812,808.70 × 359,948.10
  4. Step 4: Simplify right side
    589,007.42x = 292,568,947,228.47
  5. Step 5: Solve for x
    x = 292,568,947,228.47/589,007.42
  6. Step 6: Final answer
    x = 496,715.21

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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.