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Finding the Fourth Proportional to 461,670.30, 692,417.97 and 162,080.46

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Solution

The fourth proportional to 461,670.30, 692,417.97 and 162,080.46 is: 243,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,670.30 : 692,417.97 = 162,080.46 : x
  2. Step 2: Convert to fraction form
    461,670.30/692,417.97 = 162,080.46/x
  3. Step 3: Cross multiply
    461,670.30x = 692,417.97 × 162,080.46
  4. Step 4: Simplify right side
    461,670.30x = 112,227,423,089.87
  5. Step 5: Solve for x
    x = 112,227,423,089.87/461,670.30
  6. Step 6: Final answer
    x = 243,089.98

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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.