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Finding the Fourth Proportional to 832,509, 1,248,763.55 and 201,422.81

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Solution

The fourth proportional to 832,509, 1,248,763.55 and 201,422.81 is: 302,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,509 : 1,248,763.55 = 201,422.81 : x
  2. Step 2: Convert to fraction form
    832,509/1,248,763.55 = 201,422.81/x
  3. Step 3: Cross multiply
    832,509x = 1,248,763.55 × 201,422.81
  4. Step 4: Simplify right side
    832,509x = 251,529,466,892.04
  5. Step 5: Solve for x
    x = 251,529,466,892.04/832,509
  6. Step 6: Final answer
    x = 302,134.23

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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.