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Finding the Fourth Proportional to 537,718.10, 805,689.59 and 312,446.16

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Solution

The fourth proportional to 537,718.10, 805,689.59 and 312,446.16 is: 468,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,718.10 : 805,689.59 = 312,446.16 : x
  2. Step 2: Convert to fraction form
    537,718.10/805,689.59 = 312,446.16/x
  3. Step 3: Cross multiply
    537,718.10x = 805,689.59 × 312,446.16
  4. Step 4: Simplify right side
    537,718.10x = 251,734,616,985.24
  5. Step 5: Solve for x
    x = 251,734,616,985.24/537,718.10
  6. Step 6: Final answer
    x = 468,153.52

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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.