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Finding the Fourth Proportional to 413,686.86, 570,887.55 and 234,838.86

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Solution

The fourth proportional to 413,686.86, 570,887.55 and 234,838.86 is: 324,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,686.86 : 570,887.55 = 234,838.86 : x
  2. Step 2: Convert to fraction form
    413,686.86/570,887.55 = 234,838.86/x
  3. Step 3: Cross multiply
    413,686.86x = 570,887.55 × 234,838.86
  4. Step 4: Simplify right side
    413,686.86x = 134,066,581,430.19
  5. Step 5: Solve for x
    x = 134,066,581,430.19/413,686.86
  6. Step 6: Final answer
    x = 324,077.45

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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.