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Finding the Fourth Proportional to 488,897.60, 732,309.60 and 405,953.60

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Solution

The fourth proportional to 488,897.60, 732,309.60 and 405,953.60 is: 608,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,897.60 : 732,309.60 = 405,953.60 : x
  2. Step 2: Convert to fraction form
    488,897.60/732,309.60 = 405,953.60/x
  3. Step 3: Cross multiply
    488,897.60x = 732,309.60 × 405,953.60
  4. Step 4: Simplify right side
    488,897.60x = 297,283,718,434.56
  5. Step 5: Solve for x
    x = 297,283,718,434.56/488,897.60
  6. Step 6: Final answer
    x = 608,069.50

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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.