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Finding the Fourth Proportional to 535,063.94, 738,368.64 and 293,341.20

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Solution

The fourth proportional to 535,063.94, 738,368.64 and 293,341.20 is: 404,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,063.94 : 738,368.64 = 293,341.20 : x
  2. Step 2: Convert to fraction form
    535,063.94/738,368.64 = 293,341.20/x
  3. Step 3: Cross multiply
    535,063.94x = 738,368.64 × 293,341.20
  4. Step 4: Simplify right side
    535,063.94x = 216,593,942,899.97
  5. Step 5: Solve for x
    x = 216,593,942,899.97/535,063.94
  6. Step 6: Final answer
    x = 404,800.11

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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.