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Finding the Fourth Proportional to 600,243.60, 828,407.64 and 345,644.40

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Solution

The fourth proportional to 600,243.60, 828,407.64 and 345,644.40 is: 477,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,243.60 : 828,407.64 = 345,644.40 : x
  2. Step 2: Convert to fraction form
    600,243.60/828,407.64 = 345,644.40/x
  3. Step 3: Cross multiply
    600,243.60x = 828,407.64 × 345,644.40
  4. Step 4: Simplify right side
    600,243.60x = 286,334,461,683.22
  5. Step 5: Solve for x
    x = 286,334,461,683.22/600,243.60
  6. Step 6: Final answer
    x = 477,030.43

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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.