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Finding the Fourth Proportional to 506,457.84, 699,127.02 and 315,565.54

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Solution

The fourth proportional to 506,457.84, 699,127.02 and 315,565.54 is: 435,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,457.84 : 699,127.02 = 315,565.54 : x
  2. Step 2: Convert to fraction form
    506,457.84/699,127.02 = 315,565.54/x
  3. Step 3: Cross multiply
    506,457.84x = 699,127.02 × 315,565.54
  4. Step 4: Simplify right side
    506,457.84x = 220,620,395,594.89
  5. Step 5: Solve for x
    x = 220,620,395,594.89/506,457.84
  6. Step 6: Final answer
    x = 435,614.53

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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.