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Finding the Fourth Proportional to 523,646.55, 785,514.78 and 144,567.23

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Solution

The fourth proportional to 523,646.55, 785,514.78 and 144,567.23 is: 216,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,646.55 : 785,514.78 = 144,567.23 : x
  2. Step 2: Convert to fraction form
    523,646.55/785,514.78 = 144,567.23/x
  3. Step 3: Cross multiply
    523,646.55x = 785,514.78 × 144,567.23
  4. Step 4: Simplify right side
    523,646.55x = 113,559,691,941.09
  5. Step 5: Solve for x
    x = 113,559,691,941.09/523,646.55
  6. Step 6: Final answer
    x = 216,863.25

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1.5x scale

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.