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Finding the Fourth Proportional to 509,196.09, 702,712.86 and 282,841.59

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Solution

The fourth proportional to 509,196.09, 702,712.86 and 282,841.59 is: 390,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,196.09 : 702,712.86 = 282,841.59 : x
  2. Step 2: Convert to fraction form
    509,196.09/702,712.86 = 282,841.59/x
  3. Step 3: Cross multiply
    509,196.09x = 702,712.86 × 282,841.59
  4. Step 4: Simplify right side
    509,196.09x = 198,756,422,635.85
  5. Step 5: Solve for x
    x = 198,756,422,635.85/509,196.09
  6. Step 6: Final answer
    x = 390,333.76

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1.5x scale

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.