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Finding the Fourth Proportional to 943,164, 1,301,564.16 and 513,447.12

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Solution

The fourth proportional to 943,164, 1,301,564.16 and 513,447.12 is: 708,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,164 : 1,301,564.16 = 513,447.12 : x
  2. Step 2: Convert to fraction form
    943,164/1,301,564.16 = 513,447.12/x
  3. Step 3: Cross multiply
    943,164x = 1,301,564.16 × 513,447.12
  4. Step 4: Simplify right side
    943,164x = 668,284,369,447.22
  5. Step 5: Solve for x
    x = 668,284,369,447.22/943,164
  6. Step 6: Final answer
    x = 708,555.85

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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.