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Finding the Fourth Proportional to 476,038.72, 714,060.53 and 160,498.36

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Solution

The fourth proportional to 476,038.72, 714,060.53 and 160,498.36 is: 240,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,038.72 : 714,060.53 = 160,498.36 : x
  2. Step 2: Convert to fraction form
    476,038.72/714,060.53 = 160,498.36/x
  3. Step 3: Cross multiply
    476,038.72x = 714,060.53 × 160,498.36
  4. Step 4: Simplify right side
    476,038.72x = 114,605,544,005.73
  5. Step 5: Solve for x
    x = 114,605,544,005.73/476,038.72
  6. Step 6: Final answer
    x = 240,748.37

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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.