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Finding the Fourth Proportional to 528,653.76, 729,530.16 and 286,936.80

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Solution

The fourth proportional to 528,653.76, 729,530.16 and 286,936.80 is: 395,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,653.76 : 729,530.16 = 286,936.80 : x
  2. Step 2: Convert to fraction form
    528,653.76/729,530.16 = 286,936.80/x
  3. Step 3: Cross multiply
    528,653.76x = 729,530.16 × 286,936.80
  4. Step 4: Simplify right side
    528,653.76x = 209,329,049,613.89
  5. Step 5: Solve for x
    x = 209,329,049,613.89/528,653.76
  6. Step 6: Final answer
    x = 395,966.26

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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.