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Finding the Fourth Proportional to 507,747.44, 700,599.47 and 326,417.78

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Solution

The fourth proportional to 507,747.44, 700,599.47 and 326,417.78 is: 450,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,747.44 : 700,599.47 = 326,417.78 : x
  2. Step 2: Convert to fraction form
    507,747.44/700,599.47 = 326,417.78/x
  3. Step 3: Cross multiply
    507,747.44x = 700,599.47 × 326,417.78
  4. Step 4: Simplify right side
    507,747.44x = 228,688,118,531.49
  5. Step 5: Solve for x
    x = 228,688,118,531.49/507,747.44
  6. Step 6: Final answer
    x = 450,397.39

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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.