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Finding the Fourth Proportional to 445,827.30, 668,838.15 and 146,256.90

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Solution

The fourth proportional to 445,827.30, 668,838.15 and 146,256.90 is: 219,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,827.30 : 668,838.15 = 146,256.90 : x
  2. Step 2: Convert to fraction form
    445,827.30/668,838.15 = 146,256.90/x
  3. Step 3: Cross multiply
    445,827.30x = 668,838.15 × 146,256.90
  4. Step 4: Simplify right side
    445,827.30x = 97,822,194,420.74
  5. Step 5: Solve for x
    x = 97,822,194,420.74/445,827.30
  6. Step 6: Final answer
    x = 219,417.24

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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.