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Finding the Fourth Proportional to 398,271.88, 549,599.34 and 216,985.24

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Solution

The fourth proportional to 398,271.88, 549,599.34 and 216,985.24 is: 299,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,271.88 : 549,599.34 = 216,985.24 : x
  2. Step 2: Convert to fraction form
    398,271.88/549,599.34 = 216,985.24/x
  3. Step 3: Cross multiply
    398,271.88x = 549,599.34 × 216,985.24
  4. Step 4: Simplify right side
    398,271.88x = 119,254,944,693.74
  5. Step 5: Solve for x
    x = 119,254,944,693.74/398,271.88
  6. Step 6: Final answer
    x = 299,430.99

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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.