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Finding the Fourth Proportional to 334,689.40, 502,034.10 and 288,033.40

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Solution

The fourth proportional to 334,689.40, 502,034.10 and 288,033.40 is: 432,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,689.40 : 502,034.10 = 288,033.40 : x
  2. Step 2: Convert to fraction form
    334,689.40/502,034.10 = 288,033.40/x
  3. Step 3: Cross multiply
    334,689.40x = 502,034.10 × 288,033.40
  4. Step 4: Simplify right side
    334,689.40x = 144,602,588,738.94
  5. Step 5: Solve for x
    x = 144,602,588,738.94/334,689.40
  6. Step 6: Final answer
    x = 432,050.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.