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Finding the Fourth Proportional to 476,037.36, 714,058.47 and 160,497

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Solution

The fourth proportional to 476,037.36, 714,058.47 and 160,497 is: 240,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,037.36 : 714,058.47 = 160,497 : x
  2. Step 2: Convert to fraction form
    476,037.36/714,058.47 = 160,497/x
  3. Step 3: Cross multiply
    476,037.36x = 714,058.47 × 160,497
  4. Step 4: Simplify right side
    476,037.36x = 114,604,242,259.59
  5. Step 5: Solve for x
    x = 114,604,242,259.59/476,037.36
  6. Step 6: Final answer
    x = 240,746.32

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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.