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Finding the Fourth Proportional to 461,225.61, 692,051.85 and 176,821.11

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Solution

The fourth proportional to 461,225.61, 692,051.85 and 176,821.11 is: 265,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,225.61 : 692,051.85 = 176,821.11 : x
  2. Step 2: Convert to fraction form
    461,225.61/692,051.85 = 176,821.11/x
  3. Step 3: Cross multiply
    461,225.61x = 692,051.85 × 176,821.11
  4. Step 4: Simplify right side
    461,225.61x = 122,369,376,294.55
  5. Step 5: Solve for x
    x = 122,369,376,294.55/461,225.61
  6. Step 6: Final answer
    x = 265,313.49

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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.