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Finding the Fourth Proportional to 925,624, 1,387,904.64 and 364,352.32

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Solution

The fourth proportional to 925,624, 1,387,904.64 and 364,352.32 is: 546,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,624 : 1,387,904.64 = 364,352.32 : x
  2. Step 2: Convert to fraction form
    925,624/1,387,904.64 = 364,352.32/x
  3. Step 3: Cross multiply
    925,624x = 1,387,904.64 × 364,352.32
  4. Step 4: Simplify right side
    925,624x = 505,686,275,522.77
  5. Step 5: Solve for x
    x = 505,686,275,522.77/925,624
  6. Step 6: Final answer
    x = 546,319.32

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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.