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Finding the Fourth Proportional to 398,254.23, 549,587.97 and 216,966.11

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Solution

The fourth proportional to 398,254.23, 549,587.97 and 216,966.11 is: 299,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,254.23 : 549,587.97 = 216,966.11 : x
  2. Step 2: Convert to fraction form
    398,254.23/549,587.97 = 216,966.11/x
  3. Step 3: Cross multiply
    398,254.23x = 549,587.97 × 216,966.11
  4. Step 4: Simplify right side
    398,254.23x = 119,241,961,205.76
  5. Step 5: Solve for x
    x = 119,241,961,205.76/398,254.23
  6. Step 6: Final answer
    x = 299,411.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.