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Finding the Fourth Proportional to 314,938, 435,392.04 and 301,718.80

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Solution

The fourth proportional to 314,938, 435,392.04 and 301,718.80 is: 417,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938 : 435,392.04 = 301,718.80 : x
  2. Step 2: Convert to fraction form
    314,938/435,392.04 = 301,718.80/x
  3. Step 3: Cross multiply
    314,938x = 435,392.04 × 301,718.80
  4. Step 4: Simplify right side
    314,938x = 131,365,963,838.35
  5. Step 5: Solve for x
    x = 131,365,963,838.35/314,938
  6. Step 6: Final answer
    x = 417,116.91

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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.