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Finding the Fourth Proportional to 461,616.48, 692,502.48 and 212,292

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Solution

The fourth proportional to 461,616.48, 692,502.48 and 212,292 is: 318,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,616.48 : 692,502.48 = 212,292 : x
  2. Step 2: Convert to fraction form
    461,616.48/692,502.48 = 212,292/x
  3. Step 3: Cross multiply
    461,616.48x = 692,502.48 × 212,292
  4. Step 4: Simplify right side
    461,616.48x = 147,012,736,484.16
  5. Step 5: Solve for x
    x = 147,012,736,484.16/461,616.48
  6. Step 6: Final answer
    x = 318,473.76

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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.