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Finding the Fourth Proportional to 315,864, 473,878.08 and 94,248

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Solution

The fourth proportional to 315,864, 473,878.08 and 94,248 is: 141,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,864 : 473,878.08 = 94,248 : x
  2. Step 2: Convert to fraction form
    315,864/473,878.08 = 94,248/x
  3. Step 3: Cross multiply
    315,864x = 473,878.08 × 94,248
  4. Step 4: Simplify right side
    315,864x = 44,662,061,283.84
  5. Step 5: Solve for x
    x = 44,662,061,283.84/315,864
  6. Step 6: Final answer
    x = 141,396.49

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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.