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Finding the Fourth Proportional to 656,194, 905,547.92 and 354,388

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Solution

The fourth proportional to 656,194, 905,547.92 and 354,388 is: 489,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,194 : 905,547.92 = 354,388 : x
  2. Step 2: Convert to fraction form
    656,194/905,547.92 = 354,388/x
  3. Step 3: Cross multiply
    656,194x = 905,547.92 × 354,388
  4. Step 4: Simplify right side
    656,194x = 320,915,316,272.96
  5. Step 5: Solve for x
    x = 320,915,316,272.96/656,194
  6. Step 6: Final answer
    x = 489,055.55

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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.