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Finding the Fourth Proportional to 506,456.84, 699,125.64 and 315,564.54

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Solution

The fourth proportional to 506,456.84, 699,125.64 and 315,564.54 is: 435,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,456.84 : 699,125.64 = 315,564.54 : x
  2. Step 2: Convert to fraction form
    506,456.84/699,125.64 = 315,564.54/x
  3. Step 3: Cross multiply
    506,456.84x = 699,125.64 × 315,564.54
  4. Step 4: Simplify right side
    506,456.84x = 220,619,260,988.81
  5. Step 5: Solve for x
    x = 220,619,260,988.81/506,456.84
  6. Step 6: Final answer
    x = 435,613.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.