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Finding the Fourth Proportional to 410,400.59, 616,535.04 and 296,898.48

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Solution

The fourth proportional to 410,400.59, 616,535.04 and 296,898.48 is: 446,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,400.59 : 616,535.04 = 296,898.48 : x
  2. Step 2: Convert to fraction form
    410,400.59/616,535.04 = 296,898.48/x
  3. Step 3: Cross multiply
    410,400.59x = 616,535.04 × 296,898.48
  4. Step 4: Simplify right side
    410,400.59x = 183,048,316,242.74
  5. Step 5: Solve for x
    x = 183,048,316,242.74/410,400.59
  6. Step 6: Final answer
    x = 446,023.53

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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.