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Finding the Fourth Proportional to 360,324, 540,486 and 97,668

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Solution

The fourth proportional to 360,324, 540,486 and 97,668 is: 146,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,324 : 540,486 = 97,668 : x
  2. Step 2: Convert to fraction form
    360,324/540,486 = 97,668/x
  3. Step 3: Cross multiply
    360,324x = 540,486 × 97,668
  4. Step 4: Simplify right side
    360,324x = 52,788,186,648
  5. Step 5: Solve for x
    x = 52,788,186,648/360,324
  6. Step 6: Final answer
    x = 146,502

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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.