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Finding the Fourth Proportional to 501,734.16, 692,717.52 and 310,950

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Solution

The fourth proportional to 501,734.16, 692,717.52 and 310,950 is: 429,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,734.16 : 692,717.52 = 310,950 : x
  2. Step 2: Convert to fraction form
    501,734.16/692,717.52 = 310,950/x
  3. Step 3: Cross multiply
    501,734.16x = 692,717.52 × 310,950
  4. Step 4: Simplify right side
    501,734.16x = 215,400,512,844
  5. Step 5: Solve for x
    x = 215,400,512,844/501,734.16
  6. Step 6: Final answer
    x = 429,312.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.