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Finding the Fourth Proportional to 513,407.57, 708,199.62 and 322,088.81

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Solution

The fourth proportional to 513,407.57, 708,199.62 and 322,088.81 is: 444,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,407.57 : 708,199.62 = 322,088.81 : x
  2. Step 2: Convert to fraction form
    513,407.57/708,199.62 = 322,088.81/x
  3. Step 3: Cross multiply
    513,407.57x = 708,199.62 × 322,088.81
  4. Step 4: Simplify right side
    513,407.57x = 228,103,172,848.25
  5. Step 5: Solve for x
    x = 228,103,172,848.25/513,407.57
  6. Step 6: Final answer
    x = 444,292.58

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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.