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Finding the Fourth Proportional to 559,341.03, 771,833.10 and 314,286.87

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Solution

The fourth proportional to 559,341.03, 771,833.10 and 314,286.87 is: 433,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,341.03 : 771,833.10 = 314,286.87 : x
  2. Step 2: Convert to fraction form
    559,341.03/771,833.10 = 314,286.87/x
  3. Step 3: Cross multiply
    559,341.03x = 771,833.10 × 314,286.87
  4. Step 4: Simplify right side
    559,341.03x = 242,577,009,161.40
  5. Step 5: Solve for x
    x = 242,577,009,161.40/559,341.03
  6. Step 6: Final answer
    x = 433,683.56

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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.