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Finding the Fourth Proportional to 473,897.58, 710,234.01 and 354,633.18

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Solution

The fourth proportional to 473,897.58, 710,234.01 and 354,633.18 is: 531,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,897.58 : 710,234.01 = 354,633.18 : x
  2. Step 2: Convert to fraction form
    473,897.58/710,234.01 = 354,633.18/x
  3. Step 3: Cross multiply
    473,897.58x = 710,234.01 × 354,633.18
  4. Step 4: Simplify right side
    473,897.58x = 251,872,545,510.45
  5. Step 5: Solve for x
    x = 251,872,545,510.45/473,897.58
  6. Step 6: Final answer
    x = 531,491.52

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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.