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Finding the Fourth Proportional to 916,564, 1,264,866.96 and 514,164.64

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Solution

The fourth proportional to 916,564, 1,264,866.96 and 514,164.64 is: 709,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,564 : 1,264,866.96 = 514,164.64 : x
  2. Step 2: Convert to fraction form
    916,564/1,264,866.96 = 514,164.64/x
  3. Step 3: Cross multiply
    916,564x = 1,264,866.96 × 514,164.64
  4. Step 4: Simplify right side
    916,564x = 650,349,865,136.29
  5. Step 5: Solve for x
    x = 650,349,865,136.29/916,564
  6. Step 6: Final answer
    x = 709,552.05

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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.