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Finding the Fourth Proportional to 517,751.76, 714,442.44 and 291,393.36

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Solution

The fourth proportional to 517,751.76, 714,442.44 and 291,393.36 is: 402,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,751.76 : 714,442.44 = 291,393.36 : x
  2. Step 2: Convert to fraction form
    517,751.76/714,442.44 = 291,393.36/x
  3. Step 3: Cross multiply
    517,751.76x = 714,442.44 × 291,393.36
  4. Step 4: Simplify right side
    517,751.76x = 208,183,783,118.20
  5. Step 5: Solve for x
    x = 208,183,783,118.20/517,751.76
  6. Step 6: Final answer
    x = 402,091.89

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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.