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Finding the Fourth Proportional to 523,041.64, 783,813.93 and 297,937.24

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Solution

The fourth proportional to 523,041.64, 783,813.93 and 297,937.24 is: 446,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,041.64 : 783,813.93 = 297,937.24 : x
  2. Step 2: Convert to fraction form
    523,041.64/783,813.93 = 297,937.24/x
  3. Step 3: Cross multiply
    523,041.64x = 783,813.93 × 297,937.24
  4. Step 4: Simplify right side
    523,041.64x = 233,527,358,977.75
  5. Step 5: Solve for x
    x = 233,527,358,977.75/523,041.64
  6. Step 6: Final answer
    x = 446,479.48

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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.