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Finding the Fourth Proportional to 523,322.40, 785,095.20 and 298,790.40

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Solution

The fourth proportional to 523,322.40, 785,095.20 and 298,790.40 is: 448,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,322.40 : 785,095.20 = 298,790.40 : x
  2. Step 2: Convert to fraction form
    523,322.40/785,095.20 = 298,790.40/x
  3. Step 3: Cross multiply
    523,322.40x = 785,095.20 × 298,790.40
  4. Step 4: Simplify right side
    523,322.40x = 234,578,908,846.08
  5. Step 5: Solve for x
    x = 234,578,908,846.08/523,322.40
  6. Step 6: Final answer
    x = 448,249.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.