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Finding the Fourth Proportional to 314,718.15, 471,530.46 and 283,881.45

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Solution

The fourth proportional to 314,718.15, 471,530.46 and 283,881.45 is: 425,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718.15 : 471,530.46 = 283,881.45 : x
  2. Step 2: Convert to fraction form
    314,718.15/471,530.46 = 283,881.45/x
  3. Step 3: Cross multiply
    314,718.15x = 471,530.46 × 283,881.45
  4. Step 4: Simplify right side
    314,718.15x = 133,858,750,703.97
  5. Step 5: Solve for x
    x = 133,858,750,703.97/314,718.15
  6. Step 6: Final answer
    x = 425,328.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.