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Finding the Fourth Proportional to 497,573.34, 745,736.49 and 355,194.78

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Solution

The fourth proportional to 497,573.34, 745,736.49 and 355,194.78 is: 532,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,573.34 : 745,736.49 = 355,194.78 : x
  2. Step 2: Convert to fraction form
    497,573.34/745,736.49 = 355,194.78/x
  3. Step 3: Cross multiply
    497,573.34x = 745,736.49 × 355,194.78
  4. Step 4: Simplify right side
    497,573.34x = 264,881,708,503.52
  5. Step 5: Solve for x
    x = 264,881,708,503.52/497,573.34
  6. Step 6: Final answer
    x = 532,347.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.