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Finding the Fourth Proportional to 413,646.71, 570,801.34 and 232,323.22

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Solution

The fourth proportional to 413,646.71, 570,801.34 and 232,323.22 is: 320,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,646.71 : 570,801.34 = 232,323.22 : x
  2. Step 2: Convert to fraction form
    413,646.71/570,801.34 = 232,323.22/x
  3. Step 3: Cross multiply
    413,646.71x = 570,801.34 × 232,323.22
  4. Step 4: Simplify right side
    413,646.71x = 132,610,406,056.46
  5. Step 5: Solve for x
    x = 132,610,406,056.46/413,646.71
  6. Step 6: Final answer
    x = 320,588.57

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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.