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Finding the Fourth Proportional to 537,926.40, 806,695.71 and 178,030.77

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Solution

The fourth proportional to 537,926.40, 806,695.71 and 178,030.77 is: 266,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,926.40 : 806,695.71 = 178,030.77 : x
  2. Step 2: Convert to fraction form
    537,926.40/806,695.71 = 178,030.77/x
  3. Step 3: Cross multiply
    537,926.40x = 806,695.71 × 178,030.77
  4. Step 4: Simplify right side
    537,926.40x = 143,616,658,407.00
  5. Step 5: Solve for x
    x = 143,616,658,407.00/537,926.40
  6. Step 6: Final answer
    x = 266,981.99

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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.