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Finding the Fourth Proportional to 459,762.26, 634,461.96 and 266,178.13

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Solution

The fourth proportional to 459,762.26, 634,461.96 and 266,178.13 is: 367,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,762.26 : 634,461.96 = 266,178.13 : x
  2. Step 2: Convert to fraction form
    459,762.26/634,461.96 = 266,178.13/x
  3. Step 3: Cross multiply
    459,762.26x = 634,461.96 × 266,178.13
  4. Step 4: Simplify right side
    459,762.26x = 168,879,898,068.94
  5. Step 5: Solve for x
    x = 168,879,898,068.94/459,762.26
  6. Step 6: Final answer
    x = 367,320.05

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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.