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Finding the Fourth Proportional to 676,276, 933,290.04 and 374,470

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Solution

The fourth proportional to 676,276, 933,290.04 and 374,470 is: 516,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,276 : 933,290.04 = 374,470 : x
  2. Step 2: Convert to fraction form
    676,276/933,290.04 = 374,470/x
  3. Step 3: Cross multiply
    676,276x = 933,290.04 × 374,470
  4. Step 4: Simplify right side
    676,276x = 349,489,121,278.80
  5. Step 5: Solve for x
    x = 349,489,121,278.80/676,276
  6. Step 6: Final answer
    x = 516,784.75

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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.