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Finding the Fourth Proportional to 304,041.64, 456,070.30 and 144,080.04

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Solution

The fourth proportional to 304,041.64, 456,070.30 and 144,080.04 is: 216,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,041.64 : 456,070.30 = 144,080.04 : x
  2. Step 2: Convert to fraction form
    304,041.64/456,070.30 = 144,080.04/x
  3. Step 3: Cross multiply
    304,041.64x = 456,070.30 × 144,080.04
  4. Step 4: Simplify right side
    304,041.64x = 65,710,627,066.81
  5. Step 5: Solve for x
    x = 65,710,627,066.81/304,041.64
  6. Step 6: Final answer
    x = 216,123.78

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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.