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Finding the Fourth Proportional to 468,533.40, 646,312.14 and 296,397.96

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Solution

The fourth proportional to 468,533.40, 646,312.14 and 296,397.96 is: 408,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,533.40 : 646,312.14 = 296,397.96 : x
  2. Step 2: Convert to fraction form
    468,533.40/646,312.14 = 296,397.96/x
  3. Step 3: Cross multiply
    468,533.40x = 646,312.14 × 296,397.96
  4. Step 4: Simplify right side
    468,533.40x = 191,565,599,819.23
  5. Step 5: Solve for x
    x = 191,565,599,819.23/468,533.40
  6. Step 6: Final answer
    x = 408,862.21

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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.