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Finding the Fourth Proportional to 567,514.94, 783,176.67 and 312,875.24

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Solution

The fourth proportional to 567,514.94, 783,176.67 and 312,875.24 is: 431,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,514.94 : 783,176.67 = 312,875.24 : x
  2. Step 2: Convert to fraction form
    567,514.94/783,176.67 = 312,875.24/x
  3. Step 3: Cross multiply
    567,514.94x = 783,176.67 × 312,875.24
  4. Step 4: Simplify right side
    567,514.94x = 245,036,584,672.77
  5. Step 5: Solve for x
    x = 245,036,584,672.77/567,514.94
  6. Step 6: Final answer
    x = 431,771.17

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1.5x scale

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.