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Finding the Fourth Proportional to 476,088.60, 714,132.18 and 195,408.12

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Solution

The fourth proportional to 476,088.60, 714,132.18 and 195,408.12 is: 293,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,088.60 : 714,132.18 = 195,408.12 : x
  2. Step 2: Convert to fraction form
    476,088.60/714,132.18 = 195,408.12/x
  3. Step 3: Cross multiply
    476,088.60x = 714,132.18 × 195,408.12
  4. Step 4: Simplify right side
    476,088.60x = 139,547,226,725.30
  5. Step 5: Solve for x
    x = 139,547,226,725.30/476,088.60
  6. Step 6: Final answer
    x = 293,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.