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Finding the Fourth Proportional to 306,797.40, 460,227.51 and 117,417.03

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Solution

The fourth proportional to 306,797.40, 460,227.51 and 117,417.03 is: 176,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,797.40 : 460,227.51 = 117,417.03 : x
  2. Step 2: Convert to fraction form
    306,797.40/460,227.51 = 117,417.03/x
  3. Step 3: Cross multiply
    306,797.40x = 460,227.51 × 117,417.03
  4. Step 4: Simplify right side
    306,797.40x = 54,038,547,348.50
  5. Step 5: Solve for x
    x = 54,038,547,348.50/306,797.40
  6. Step 6: Final answer
    x = 176,137.57

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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.