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Finding the Fourth Proportional to 495,931.11, 684,377.34 and 278,139.74

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Solution

The fourth proportional to 495,931.11, 684,377.34 and 278,139.74 is: 383,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,931.11 : 684,377.34 = 278,139.74 : x
  2. Step 2: Convert to fraction form
    495,931.11/684,377.34 = 278,139.74/x
  3. Step 3: Cross multiply
    495,931.11x = 684,377.34 × 278,139.74
  4. Step 4: Simplify right side
    495,931.11x = 190,352,533,080.38
  5. Step 5: Solve for x
    x = 190,352,533,080.38/495,931.11
  6. Step 6: Final answer
    x = 383,828.58

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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.