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Finding the Fourth Proportional to 461,707.30, 692,473.46 and 162,117.46

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Solution

The fourth proportional to 461,707.30, 692,473.46 and 162,117.46 is: 243,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,707.30 : 692,473.46 = 162,117.46 : x
  2. Step 2: Convert to fraction form
    461,707.30/692,473.46 = 162,117.46/x
  3. Step 3: Cross multiply
    461,707.30x = 692,473.46 × 162,117.46
  4. Step 4: Simplify right side
    461,707.30x = 112,262,038,452.61
  5. Step 5: Solve for x
    x = 112,262,038,452.61/461,707.30
  6. Step 6: Final answer
    x = 243,145.47

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1.5x scale

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.