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Finding the Fourth Proportional to 523,854.86, 789,282.74 and 473,312.60

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Solution

The fourth proportional to 523,854.86, 789,282.74 and 473,312.60 is: 713,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,854.86 : 789,282.74 = 473,312.60 : x
  2. Step 2: Convert to fraction form
    523,854.86/789,282.74 = 473,312.60/x
  3. Step 3: Cross multiply
    523,854.86x = 789,282.74 × 473,312.60
  4. Step 4: Simplify right side
    523,854.86x = 373,577,459,491.55
  5. Step 5: Solve for x
    x = 373,577,459,491.55/523,854.86
  6. Step 6: Final answer
    x = 713,131.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.