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Finding the Fourth Proportional to 504,869.06, 696,708.08 and 278,514.50

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Solution

The fourth proportional to 504,869.06, 696,708.08 and 278,514.50 is: 384,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,869.06 : 696,708.08 = 278,514.50 : x
  2. Step 2: Convert to fraction form
    504,869.06/696,708.08 = 278,514.50/x
  3. Step 3: Cross multiply
    504,869.06x = 696,708.08 × 278,514.50
  4. Step 4: Simplify right side
    504,869.06x = 194,043,302,547.16
  5. Step 5: Solve for x
    x = 194,043,302,547.16/504,869.06
  6. Step 6: Final answer
    x = 384,343.82

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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.