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Finding the Fourth Proportional to 509,156.35, 702,557.71 and 294,254.93

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Solution

The fourth proportional to 509,156.35, 702,557.71 and 294,254.93 is: 406,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,156.35 : 702,557.71 = 294,254.93 : x
  2. Step 2: Convert to fraction form
    509,156.35/702,557.71 = 294,254.93/x
  3. Step 3: Cross multiply
    509,156.35x = 702,557.71 × 294,254.93
  4. Step 4: Simplify right side
    509,156.35x = 206,731,070,797.77
  5. Step 5: Solve for x
    x = 206,731,070,797.77/509,156.35
  6. Step 6: Final answer
    x = 406,026.70

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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.