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Finding the Fourth Proportional to 610,646.64, 916,053.12 and 211,180.20

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Solution

The fourth proportional to 610,646.64, 916,053.12 and 211,180.20 is: 316,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,646.64 : 916,053.12 = 211,180.20 : x
  2. Step 2: Convert to fraction form
    610,646.64/916,053.12 = 211,180.20/x
  3. Step 3: Cross multiply
    610,646.64x = 916,053.12 × 211,180.20
  4. Step 4: Simplify right side
    610,646.64x = 193,452,281,092.22
  5. Step 5: Solve for x
    x = 193,452,281,092.22/610,646.64
  6. Step 6: Final answer
    x = 316,799.06

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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.