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Finding the Fourth Proportional to 506,348.40, 759,596.32 and 186,653.28

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Solution

The fourth proportional to 506,348.40, 759,596.32 and 186,653.28 is: 280,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,348.40 : 759,596.32 = 186,653.28 : x
  2. Step 2: Convert to fraction form
    506,348.40/759,596.32 = 186,653.28/x
  3. Step 3: Cross multiply
    506,348.40x = 759,596.32 × 186,653.28
  4. Step 4: Simplify right side
    506,348.40x = 141,781,144,603.93
  5. Step 5: Solve for x
    x = 141,781,144,603.93/506,348.40
  6. Step 6: Final answer
    x = 280,007.10

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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.