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Finding the Fourth Proportional to 476,038.36, 714,059.97 and 160,498

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Solution

The fourth proportional to 476,038.36, 714,059.97 and 160,498 is: 240,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,038.36 : 714,059.97 = 160,498 : x
  2. Step 2: Convert to fraction form
    476,038.36/714,059.97 = 160,498/x
  3. Step 3: Cross multiply
    476,038.36x = 714,059.97 × 160,498
  4. Step 4: Simplify right side
    476,038.36x = 114,605,197,065.06
  5. Step 5: Solve for x
    x = 114,605,197,065.06/476,038.36
  6. Step 6: Final answer
    x = 240,747.82

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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.