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Finding the Fourth Proportional to 509,188.84, 702,702.84 and 282,834.34

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Solution

The fourth proportional to 509,188.84, 702,702.84 and 282,834.34 is: 390,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,188.84 : 702,702.84 = 282,834.34 : x
  2. Step 2: Convert to fraction form
    509,188.84/702,702.84 = 282,834.34/x
  3. Step 3: Cross multiply
    509,188.84x = 702,702.84 × 282,834.34
  4. Step 4: Simplify right side
    509,188.84x = 198,748,493,967.53
  5. Step 5: Solve for x
    x = 198,748,493,967.53/509,188.84
  6. Step 6: Final answer
    x = 390,323.74

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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.