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Finding the Fourth Proportional to 649,409.79, 895,605.22 and 407,714.91

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Solution

The fourth proportional to 649,409.79, 895,605.22 and 407,714.91 is: 562,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,409.79 : 895,605.22 = 407,714.91 : x
  2. Step 2: Convert to fraction form
    649,409.79/895,605.22 = 407,714.91/x
  3. Step 3: Cross multiply
    649,409.79x = 895,605.22 × 407,714.91
  4. Step 4: Simplify right side
    649,409.79x = 365,151,601,667.83
  5. Step 5: Solve for x
    x = 365,151,601,667.83/649,409.79
  6. Step 6: Final answer
    x = 562,282.26

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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.