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Finding the Fourth Proportional to 410,339.90, 615,577.90 and 144,031.34

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Solution

The fourth proportional to 410,339.90, 615,577.90 and 144,031.34 is: 216,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,339.90 : 615,577.90 = 144,031.34 : x
  2. Step 2: Convert to fraction form
    410,339.90/615,577.90 = 144,031.34/x
  3. Step 3: Cross multiply
    410,339.90x = 615,577.90 × 144,031.34
  4. Step 4: Simplify right side
    410,339.90x = 88,662,509,811.39
  5. Step 5: Solve for x
    x = 88,662,509,811.39/410,339.90
  6. Step 6: Final answer
    x = 216,070.90

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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.