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Finding the Fourth Proportional to 334,019.32, 500,503.74 and 258,302.68

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Solution

The fourth proportional to 334,019.32, 500,503.74 and 258,302.68 is: 387,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,019.32 : 500,503.74 = 258,302.68 : x
  2. Step 2: Convert to fraction form
    334,019.32/500,503.74 = 258,302.68/x
  3. Step 3: Cross multiply
    334,019.32x = 500,503.74 × 258,302.68
  4. Step 4: Simplify right side
    334,019.32x = 129,281,457,392.02
  5. Step 5: Solve for x
    x = 129,281,457,392.02/334,019.32
  6. Step 6: Final answer
    x = 387,047.84

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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.