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Finding the Fourth Proportional to 556,977.62, 835,498.92 and 157,584.98

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Solution

The fourth proportional to 556,977.62, 835,498.92 and 157,584.98 is: 236,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,977.62 : 835,498.92 = 157,584.98 : x
  2. Step 2: Convert to fraction form
    556,977.62/835,498.92 = 157,584.98/x
  3. Step 3: Cross multiply
    556,977.62x = 835,498.92 × 157,584.98
  4. Step 4: Simplify right side
    556,977.62x = 131,662,080,598.22
  5. Step 5: Solve for x
    x = 131,662,080,598.22/556,977.62
  6. Step 6: Final answer
    x = 236,386.66

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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.