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Finding the Fourth Proportional to 413,368.40, 570,454.28 and 232,119.60

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Solution

The fourth proportional to 413,368.40, 570,454.28 and 232,119.60 is: 320,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368.40 : 570,454.28 = 232,119.60 : x
  2. Step 2: Convert to fraction form
    413,368.40/570,454.28 = 232,119.60/x
  3. Step 3: Cross multiply
    413,368.40x = 570,454.28 × 232,119.60
  4. Step 4: Simplify right side
    413,368.40x = 132,413,619,291.89
  5. Step 5: Solve for x
    x = 132,413,619,291.89/413,368.40
  6. Step 6: Final answer
    x = 320,328.35

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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.