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Finding the Fourth Proportional to 315,675.09, 473,461.61 and 115,946.10

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Solution

The fourth proportional to 315,675.09, 473,461.61 and 115,946.10 is: 173,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,675.09 : 473,461.61 = 115,946.10 : x
  2. Step 2: Convert to fraction form
    315,675.09/473,461.61 = 115,946.10/x
  3. Step 3: Cross multiply
    315,675.09x = 473,461.61 × 115,946.10
  4. Step 4: Simplify right side
    315,675.09x = 54,896,026,599.49
  5. Step 5: Solve for x
    x = 54,896,026,599.49/315,675.09
  6. Step 6: Final answer
    x = 173,900.41

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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.