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Finding the Fourth Proportional to 565,409.80, 848,114.70 and 502,424.20

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Solution

The fourth proportional to 565,409.80, 848,114.70 and 502,424.20 is: 753,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,409.80 : 848,114.70 = 502,424.20 : x
  2. Step 2: Convert to fraction form
    565,409.80/848,114.70 = 502,424.20/x
  3. Step 3: Cross multiply
    565,409.80x = 848,114.70 × 502,424.20
  4. Step 4: Simplify right side
    565,409.80x = 426,113,349,655.74
  5. Step 5: Solve for x
    x = 426,113,349,655.74/565,409.80
  6. Step 6: Final answer
    x = 753,636.30

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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.