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Finding the Fourth Proportional to 647,463.48, 893,182.08 and 432,656.40

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Solution

The fourth proportional to 647,463.48, 893,182.08 and 432,656.40 is: 596,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,463.48 : 893,182.08 = 432,656.40 : x
  2. Step 2: Convert to fraction form
    647,463.48/893,182.08 = 432,656.40/x
  3. Step 3: Cross multiply
    647,463.48x = 893,182.08 × 432,656.40
  4. Step 4: Simplify right side
    647,463.48x = 386,440,943,277.31
  5. Step 5: Solve for x
    x = 386,440,943,277.31/647,463.48
  6. Step 6: Final answer
    x = 596,853.65

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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.