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Finding the Fourth Proportional to 461,663.32, 692,598.74 and 146,139.16

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Solution

The fourth proportional to 461,663.32, 692,598.74 and 146,139.16 is: 219,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,663.32 : 692,598.74 = 146,139.16 : x
  2. Step 2: Convert to fraction form
    461,663.32/692,598.74 = 146,139.16/x
  3. Step 3: Cross multiply
    461,663.32x = 692,598.74 × 146,139.16
  4. Step 4: Simplify right side
    461,663.32x = 101,215,798,080.66
  5. Step 5: Solve for x
    x = 101,215,798,080.66/461,663.32
  6. Step 6: Final answer
    x = 219,241.59

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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.