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Finding the Fourth Proportional to 932,849.80, 1,398,929.10 and 301,784.20

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Solution

The fourth proportional to 932,849.80, 1,398,929.10 and 301,784.20 is: 452,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,849.80 : 1,398,929.10 = 301,784.20 : x
  2. Step 2: Convert to fraction form
    932,849.80/1,398,929.10 = 301,784.20/x
  3. Step 3: Cross multiply
    932,849.80x = 1,398,929.10 × 301,784.20
  4. Step 4: Simplify right side
    932,849.80x = 422,174,699,300.22
  5. Step 5: Solve for x
    x = 422,174,699,300.22/932,849.80
  6. Step 6: Final answer
    x = 452,564.50

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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.