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Finding the Fourth Proportional to 507,622.68, 761,854.50 and 254,975.31

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Solution

The fourth proportional to 507,622.68, 761,854.50 and 254,975.31 is: 382,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,622.68 : 761,854.50 = 254,975.31 : x
  2. Step 2: Convert to fraction form
    507,622.68/761,854.50 = 254,975.31/x
  3. Step 3: Cross multiply
    507,622.68x = 761,854.50 × 254,975.31
  4. Step 4: Simplify right side
    507,622.68x = 194,254,087,312.40
  5. Step 5: Solve for x
    x = 194,254,087,312.40/507,622.68
  6. Step 6: Final answer
    x = 382,674.17

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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.