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Finding the Fourth Proportional to 507,290.86, 698,934.18 and 334,901.80

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Solution

The fourth proportional to 507,290.86, 698,934.18 and 334,901.80 is: 461,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,290.86 : 698,934.18 = 334,901.80 : x
  2. Step 2: Convert to fraction form
    507,290.86/698,934.18 = 334,901.80/x
  3. Step 3: Cross multiply
    507,290.86x = 698,934.18 × 334,901.80
  4. Step 4: Simplify right side
    507,290.86x = 234,074,314,963.52
  5. Step 5: Solve for x
    x = 234,074,314,963.52/507,290.86
  6. Step 6: Final answer
    x = 461,420.33

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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.