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Finding the Fourth Proportional to 559,059.08, 771,498.61 and 314,009.78

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Solution

The fourth proportional to 559,059.08, 771,498.61 and 314,009.78 is: 433,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,059.08 : 771,498.61 = 314,009.78 : x
  2. Step 2: Convert to fraction form
    559,059.08/771,498.61 = 314,009.78/x
  3. Step 3: Cross multiply
    559,059.08x = 771,498.61 × 314,009.78
  4. Step 4: Simplify right side
    559,059.08x = 242,258,104,153.89
  5. Step 5: Solve for x
    x = 242,258,104,153.89/559,059.08
  6. Step 6: Final answer
    x = 433,331.85

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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.