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Finding the Fourth Proportional to 413,421.66, 570,550.01 and 229,681.26

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Solution

The fourth proportional to 413,421.66, 570,550.01 and 229,681.26 is: 316,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,421.66 : 570,550.01 = 229,681.26 : x
  2. Step 2: Convert to fraction form
    413,421.66/570,550.01 = 229,681.26/x
  3. Step 3: Cross multiply
    413,421.66x = 570,550.01 × 229,681.26
  4. Step 4: Simplify right side
    413,421.66x = 131,044,644,041.41
  5. Step 5: Solve for x
    x = 131,044,644,041.41/413,421.66
  6. Step 6: Final answer
    x = 316,975.76

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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.