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Finding the Fourth Proportional to 348,034.60, 522,051.90 and 278,050.60

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Solution

The fourth proportional to 348,034.60, 522,051.90 and 278,050.60 is: 417,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,034.60 : 522,051.90 = 278,050.60 : x
  2. Step 2: Convert to fraction form
    348,034.60/522,051.90 = 278,050.60/x
  3. Step 3: Cross multiply
    348,034.60x = 522,051.90 × 278,050.60
  4. Step 4: Simplify right side
    348,034.60x = 145,156,844,026.14
  5. Step 5: Solve for x
    x = 145,156,844,026.14/348,034.60
  6. Step 6: Final answer
    x = 417,075.90

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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.