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Finding the Fourth Proportional to 318,509.76, 476,714.56 and 176,136

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Solution

The fourth proportional to 318,509.76, 476,714.56 and 176,136 is: 263,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,509.76 : 476,714.56 = 176,136 : x
  2. Step 2: Convert to fraction form
    318,509.76/476,714.56 = 176,136/x
  3. Step 3: Cross multiply
    318,509.76x = 476,714.56 × 176,136
  4. Step 4: Simplify right side
    318,509.76x = 83,966,595,740.16
  5. Step 5: Solve for x
    x = 83,966,595,740.16/318,509.76
  6. Step 6: Final answer
    x = 263,623.31

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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.