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Finding the Fourth Proportional to 301,905.95, 452,854.26 and 77,264.46

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Solution

The fourth proportional to 301,905.95, 452,854.26 and 77,264.46 is: 115,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905.95 : 452,854.26 = 77,264.46 : x
  2. Step 2: Convert to fraction form
    301,905.95/452,854.26 = 77,264.46/x
  3. Step 3: Cross multiply
    301,905.95x = 452,854.26 × 77,264.46
  4. Step 4: Simplify right side
    301,905.95x = 34,989,539,857.60
  5. Step 5: Solve for x
    x = 34,989,539,857.60/301,905.95
  6. Step 6: Final answer
    x = 115,895.50

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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.