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Finding the Fourth Proportional to 476,037.47, 714,058.65 and 160,497.11

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Solution

The fourth proportional to 476,037.47, 714,058.65 and 160,497.11 is: 240,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,037.47 : 714,058.65 = 160,497.11 : x
  2. Step 2: Convert to fraction form
    476,037.47/714,058.65 = 160,497.11/x
  3. Step 3: Cross multiply
    476,037.47x = 714,058.65 × 160,497.11
  4. Step 4: Simplify right side
    476,037.47x = 114,604,349,695.50
  5. Step 5: Solve for x
    x = 114,604,349,695.50/476,037.47
  6. Step 6: Final answer
    x = 240,746.49

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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.