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Finding the Fourth Proportional to 317,408.34, 437,478 and 302,460.18

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Solution

The fourth proportional to 317,408.34, 437,478 and 302,460.18 is: 416,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,408.34 : 437,478 = 302,460.18 : x
  2. Step 2: Convert to fraction form
    317,408.34/437,478 = 302,460.18/x
  3. Step 3: Cross multiply
    317,408.34x = 437,478 × 302,460.18
  4. Step 4: Simplify right side
    317,408.34x = 132,319,674,626.04
  5. Step 5: Solve for x
    x = 132,319,674,626.04/317,408.34
  6. Step 6: Final answer
    x = 416,875.23

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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.