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Finding the Fourth Proportional to 329,970.80, 494,901.16 and 93,259.76

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Solution

The fourth proportional to 329,970.80, 494,901.16 and 93,259.76 is: 139,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,970.80 : 494,901.16 = 93,259.76 : x
  2. Step 2: Convert to fraction form
    329,970.80/494,901.16 = 93,259.76/x
  3. Step 3: Cross multiply
    329,970.80x = 494,901.16 × 93,259.76
  4. Step 4: Simplify right side
    329,970.80x = 46,154,363,405.32
  5. Step 5: Solve for x
    x = 46,154,363,405.32/329,970.80
  6. Step 6: Final answer
    x = 139,874.08

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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.