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Finding the Fourth Proportional to 570,409.09, 787,164.77 and 312,302.77

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Solution

The fourth proportional to 570,409.09, 787,164.77 and 312,302.77 is: 430,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,409.09 : 787,164.77 = 312,302.77 : x
  2. Step 2: Convert to fraction form
    570,409.09/787,164.77 = 312,302.77/x
  3. Step 3: Cross multiply
    570,409.09x = 787,164.77 × 312,302.77
  4. Step 4: Simplify right side
    570,409.09x = 245,833,734,181.59
  5. Step 5: Solve for x
    x = 245,833,734,181.59/570,409.09
  6. Step 6: Final answer
    x = 430,977.94

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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.