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Finding the Fourth Proportional to 538,547.22, 807,959.24 and 201,592.72

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Solution

The fourth proportional to 538,547.22, 807,959.24 and 201,592.72 is: 302,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,547.22 : 807,959.24 = 201,592.72 : x
  2. Step 2: Convert to fraction form
    538,547.22/807,959.24 = 201,592.72/x
  3. Step 3: Cross multiply
    538,547.22x = 807,959.24 × 201,592.72
  4. Step 4: Simplify right side
    538,547.22x = 162,878,701,598.69
  5. Step 5: Solve for x
    x = 162,878,701,598.69/538,547.22
  6. Step 6: Final answer
    x = 302,440.89

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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.