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Finding the Fourth Proportional to 288,027.80, 432,041.70 and 260,034.20

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Solution

The fourth proportional to 288,027.80, 432,041.70 and 260,034.20 is: 390,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,027.80 : 432,041.70 = 260,034.20 : x
  2. Step 2: Convert to fraction form
    288,027.80/432,041.70 = 260,034.20/x
  3. Step 3: Cross multiply
    288,027.80x = 432,041.70 × 260,034.20
  4. Step 4: Simplify right side
    288,027.80x = 112,345,617,826.14
  5. Step 5: Solve for x
    x = 112,345,617,826.14/288,027.80
  6. Step 6: Final answer
    x = 390,051.30

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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.