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Finding the Fourth Proportional to 503,823.70, 695,269.87 and 286,030.39

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Solution

The fourth proportional to 503,823.70, 695,269.87 and 286,030.39 is: 394,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,823.70 : 695,269.87 = 286,030.39 : x
  2. Step 2: Convert to fraction form
    503,823.70/695,269.87 = 286,030.39/x
  3. Step 3: Cross multiply
    503,823.70x = 695,269.87 × 286,030.39
  4. Step 4: Simplify right side
    503,823.70x = 198,868,312,071.35
  5. Step 5: Solve for x
    x = 198,868,312,071.35/503,823.70
  6. Step 6: Final answer
    x = 394,718.06

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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.