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Finding the Fourth Proportional to 537,007.48, 805,468.86 and 312,224.50

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Solution

The fourth proportional to 537,007.48, 805,468.86 and 312,224.50 is: 468,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,007.48 : 805,468.86 = 312,224.50 : x
  2. Step 2: Convert to fraction form
    537,007.48/805,468.86 = 312,224.50/x
  3. Step 3: Cross multiply
    537,007.48x = 805,468.86 × 312,224.50
  4. Step 4: Simplify right side
    537,007.48x = 251,487,112,079.07
  5. Step 5: Solve for x
    x = 251,487,112,079.07/537,007.48
  6. Step 6: Final answer
    x = 468,312.12

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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.