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Finding the Fourth Proportional to 341,762.40, 512,643.60 and 199,461.60

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Solution

The fourth proportional to 341,762.40, 512,643.60 and 199,461.60 is: 299,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,762.40 : 512,643.60 = 199,461.60 : x
  2. Step 2: Convert to fraction form
    341,762.40/512,643.60 = 199,461.60/x
  3. Step 3: Cross multiply
    341,762.40x = 512,643.60 × 199,461.60
  4. Step 4: Simplify right side
    341,762.40x = 102,252,712,685.76
  5. Step 5: Solve for x
    x = 102,252,712,685.76/341,762.40
  6. Step 6: Final answer
    x = 299,192.40

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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.