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Finding the Fourth Proportional to 468,830.42, 646,989.08 and 253,970.32

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Solution

The fourth proportional to 468,830.42, 646,989.08 and 253,970.32 is: 350,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,830.42 : 646,989.08 = 253,970.32 : x
  2. Step 2: Convert to fraction form
    468,830.42/646,989.08 = 253,970.32/x
  3. Step 3: Cross multiply
    468,830.42x = 646,989.08 × 253,970.32
  4. Step 4: Simplify right side
    468,830.42x = 164,316,023,684.11
  5. Step 5: Solve for x
    x = 164,316,023,684.11/468,830.42
  6. Step 6: Final answer
    x = 350,480.72

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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.