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Finding the Fourth Proportional to 384,602.80, 576,904.20 and 342,823.60

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Solution

The fourth proportional to 384,602.80, 576,904.20 and 342,823.60 is: 514,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,602.80 : 576,904.20 = 342,823.60 : x
  2. Step 2: Convert to fraction form
    384,602.80/576,904.20 = 342,823.60/x
  3. Step 3: Cross multiply
    384,602.80x = 576,904.20 × 342,823.60
  4. Step 4: Simplify right side
    384,602.80x = 197,776,374,699.12
  5. Step 5: Solve for x
    x = 197,776,374,699.12/384,602.80
  6. Step 6: Final answer
    x = 514,235.40

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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.