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Finding the Fourth Proportional to 476,095.76, 713,645.36 and 160,443.60

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Solution

The fourth proportional to 476,095.76, 713,645.36 and 160,443.60 is: 240,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,095.76 : 713,645.36 = 160,443.60 : x
  2. Step 2: Convert to fraction form
    476,095.76/713,645.36 = 160,443.60/x
  3. Step 3: Cross multiply
    476,095.76x = 713,645.36 × 160,443.60
  4. Step 4: Simplify right side
    476,095.76x = 114,499,830,681.70
  5. Step 5: Solve for x
    x = 114,499,830,681.70/476,095.76
  6. Step 6: Final answer
    x = 240,497.48

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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.