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Finding the Fourth Proportional to 349,752, 482,657.76 and 190,776

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Solution

The fourth proportional to 349,752, 482,657.76 and 190,776 is: 263,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,752 : 482,657.76 = 190,776 : x
  2. Step 2: Convert to fraction form
    349,752/482,657.76 = 190,776/x
  3. Step 3: Cross multiply
    349,752x = 482,657.76 × 190,776
  4. Step 4: Simplify right side
    349,752x = 92,079,516,821.76
  5. Step 5: Solve for x
    x = 92,079,516,821.76/349,752
  6. Step 6: Final answer
    x = 263,270.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.