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Finding the Fourth Proportional to 286,501, 429,751.52 and 89,509

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Solution

The fourth proportional to 286,501, 429,751.52 and 89,509 is: 134,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,501 : 429,751.52 = 89,509 : x
  2. Step 2: Convert to fraction form
    286,501/429,751.52 = 89,509/x
  3. Step 3: Cross multiply
    286,501x = 429,751.52 × 89,509
  4. Step 4: Simplify right side
    286,501x = 38,466,628,803.68
  5. Step 5: Solve for x
    x = 38,466,628,803.68/286,501
  6. Step 6: Final answer
    x = 134,263.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.