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Finding the Fourth Proportional to 586,365, 878,114.32 and 529,567.24

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Solution

The fourth proportional to 586,365, 878,114.32 and 529,567.24 is: 793,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,365 : 878,114.32 = 529,567.24 : x
  2. Step 2: Convert to fraction form
    586,365/878,114.32 = 529,567.24/x
  3. Step 3: Cross multiply
    586,365x = 878,114.32 × 529,567.24
  4. Step 4: Simplify right side
    586,365x = 465,020,576,846.88
  5. Step 5: Solve for x
    x = 465,020,576,846.88/586,365
  6. Step 6: Final answer
    x = 793,056.50

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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.