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Finding the Fourth Proportional to 306,968, 460,478.08 and 85,352

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Solution

The fourth proportional to 306,968, 460,478.08 and 85,352 is: 128,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,968 : 460,478.08 = 85,352 : x
  2. Step 2: Convert to fraction form
    306,968/460,478.08 = 85,352/x
  3. Step 3: Cross multiply
    306,968x = 460,478.08 × 85,352
  4. Step 4: Simplify right side
    306,968x = 39,302,725,084.16
  5. Step 5: Solve for x
    x = 39,302,725,084.16/306,968
  6. Step 6: Final answer
    x = 128,035.25

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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.