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Finding the Fourth Proportional to 216,256.32, 322,744.08 and 210,657.60

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Solution

The fourth proportional to 216,256.32, 322,744.08 and 210,657.60 is: 314,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,256.32 : 322,744.08 = 210,657.60 : x
  2. Step 2: Convert to fraction form
    216,256.32/322,744.08 = 210,657.60/x
  3. Step 3: Cross multiply
    216,256.32x = 322,744.08 × 210,657.60
  4. Step 4: Simplify right side
    216,256.32x = 67,988,493,307.01
  5. Step 5: Solve for x
    x = 67,988,493,307.01/216,256.32
  6. Step 6: Final answer
    x = 314,388.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.