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Finding the Fourth Proportional to 301,656.80, 452,484.69 and 77,017.28

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Solution

The fourth proportional to 301,656.80, 452,484.69 and 77,017.28 is: 115,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,656.80 : 452,484.69 = 77,017.28 : x
  2. Step 2: Convert to fraction form
    301,656.80/452,484.69 = 77,017.28/x
  3. Step 3: Cross multiply
    301,656.80x = 452,484.69 × 77,017.28
  4. Step 4: Simplify right side
    301,656.80x = 34,849,137,803.02
  5. Step 5: Solve for x
    x = 34,849,137,803.02/301,656.80
  6. Step 6: Final answer
    x = 115,525.78

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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.