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Finding the Fourth Proportional to 287,218.48, 430,889.86 and 87,533.58

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Solution

The fourth proportional to 287,218.48, 430,889.86 and 87,533.58 is: 131,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,218.48 : 430,889.86 = 87,533.58 : x
  2. Step 2: Convert to fraction form
    287,218.48/430,889.86 = 87,533.58/x
  3. Step 3: Cross multiply
    287,218.48x = 430,889.86 × 87,533.58
  4. Step 4: Simplify right side
    287,218.48x = 37,717,332,031.50
  5. Step 5: Solve for x
    x = 37,717,332,031.50/287,218.48
  6. Step 6: Final answer
    x = 131,319.31

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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.