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Finding the Fourth Proportional to 546,030.63, 819,415.17 and 191,047.71

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Solution

The fourth proportional to 546,030.63, 819,415.17 and 191,047.71 is: 286,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,030.63 : 819,415.17 = 191,047.71 : x
  2. Step 2: Convert to fraction form
    546,030.63/819,415.17 = 191,047.71/x
  3. Step 3: Cross multiply
    546,030.63x = 819,415.17 × 191,047.71
  4. Step 4: Simplify right side
    546,030.63x = 156,547,391,767.76
  5. Step 5: Solve for x
    x = 156,547,391,767.76/546,030.63
  6. Step 6: Final answer
    x = 286,700.75

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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.