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Finding the Fourth Proportional to 398,024.10, 549,265.37 and 216,738.18

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Solution

The fourth proportional to 398,024.10, 549,265.37 and 216,738.18 is: 299,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,024.10 : 549,265.37 = 216,738.18 : x
  2. Step 2: Convert to fraction form
    398,024.10/549,265.37 = 216,738.18/x
  3. Step 3: Cross multiply
    398,024.10x = 549,265.37 × 216,738.18
  4. Step 4: Simplify right side
    398,024.10x = 119,046,775,547.14
  5. Step 5: Solve for x
    x = 119,046,775,547.14/398,024.10
  6. Step 6: Final answer
    x = 299,094.39

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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.