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Finding the Fourth Proportional to 510,798.61, 704,902.07 and 296,063.23

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Solution

The fourth proportional to 510,798.61, 704,902.07 and 296,063.23 is: 408,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,798.61 : 704,902.07 = 296,063.23 : x
  2. Step 2: Convert to fraction form
    510,798.61/704,902.07 = 296,063.23/x
  3. Step 3: Cross multiply
    510,798.61x = 704,902.07 × 296,063.23
  4. Step 4: Simplify right side
    510,798.61x = 208,695,583,677.89
  5. Step 5: Solve for x
    x = 208,695,583,677.89/510,798.61
  6. Step 6: Final answer
    x = 408,567.25

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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.