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Finding the Fourth Proportional to 508,102.09, 701,081.48 and 301,332.17

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Solution

The fourth proportional to 508,102.09, 701,081.48 and 301,332.17 is: 415,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.09 : 701,081.48 = 301,332.17 : x
  2. Step 2: Convert to fraction form
    508,102.09/701,081.48 = 301,332.17/x
  3. Step 3: Cross multiply
    508,102.09x = 701,081.48 × 301,332.17
  4. Step 4: Simplify right side
    508,102.09x = 211,258,406,221.25
  5. Step 5: Solve for x
    x = 211,258,406,221.25/508,102.09
  6. Step 6: Final answer
    x = 415,779.45

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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.