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Finding the Fourth Proportional to 597,709.56, 896,075.76 and 278,060.68

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Solution

The fourth proportional to 597,709.56, 896,075.76 and 278,060.68 is: 416,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,709.56 : 896,075.76 = 278,060.68 : x
  2. Step 2: Convert to fraction form
    597,709.56/896,075.76 = 278,060.68/x
  3. Step 3: Cross multiply
    597,709.56x = 896,075.76 × 278,060.68
  4. Step 4: Simplify right side
    597,709.56x = 249,163,437,319.94
  5. Step 5: Solve for x
    x = 249,163,437,319.94/597,709.56
  6. Step 6: Final answer
    x = 416,863.73

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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.