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Finding the Fourth Proportional to 340,293.24, 510,712.02 and 153,319.32

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Solution

The fourth proportional to 340,293.24, 510,712.02 and 153,319.32 is: 230,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,293.24 : 510,712.02 = 153,319.32 : x
  2. Step 2: Convert to fraction form
    340,293.24/510,712.02 = 153,319.32/x
  3. Step 3: Cross multiply
    340,293.24x = 510,712.02 × 153,319.32
  4. Step 4: Simplify right side
    340,293.24x = 78,302,019,622.23
  5. Step 5: Solve for x
    x = 78,302,019,622.23/340,293.24
  6. Step 6: Final answer
    x = 230,101.60

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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.