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Finding the Fourth Proportional to 443,704.72, 665,386.98 and 349,121.02

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Solution

The fourth proportional to 443,704.72, 665,386.98 and 349,121.02 is: 523,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,704.72 : 665,386.98 = 349,121.02 : x
  2. Step 2: Convert to fraction form
    443,704.72/665,386.98 = 349,121.02/x
  3. Step 3: Cross multiply
    443,704.72x = 665,386.98 × 349,121.02
  4. Step 4: Simplify right side
    443,704.72x = 232,300,581,152.32
  5. Step 5: Solve for x
    x = 232,300,581,152.32/443,704.72
  6. Step 6: Final answer
    x = 523,547.69

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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.