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Finding the Fourth Proportional to 463,543.02, 639,754.20 and 334,897.86

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Solution

The fourth proportional to 463,543.02, 639,754.20 and 334,897.86 is: 462,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,543.02 : 639,754.20 = 334,897.86 : x
  2. Step 2: Convert to fraction form
    463,543.02/639,754.20 = 334,897.86/x
  3. Step 3: Cross multiply
    463,543.02x = 639,754.20 × 334,897.86
  4. Step 4: Simplify right side
    463,543.02x = 214,252,312,506.01
  5. Step 5: Solve for x
    x = 214,252,312,506.01/463,543.02
  6. Step 6: Final answer
    x = 462,205.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.