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Finding the Fourth Proportional to 413,352.34, 570,394.68 and 232,029.25

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Solution

The fourth proportional to 413,352.34, 570,394.68 and 232,029.25 is: 320,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,352.34 : 570,394.68 = 232,029.25 : x
  2. Step 2: Convert to fraction form
    413,352.34/570,394.68 = 232,029.25/x
  3. Step 3: Cross multiply
    413,352.34x = 570,394.68 × 232,029.25
  4. Step 4: Simplify right side
    413,352.34x = 132,348,249,804.39
  5. Step 5: Solve for x
    x = 132,348,249,804.39/413,352.34
  6. Step 6: Final answer
    x = 320,182.66

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1.5x scale

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.