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Finding the Fourth Proportional to 524,403.60, 784,637.10 and 347,256.60

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Solution

The fourth proportional to 524,403.60, 784,637.10 and 347,256.60 is: 519,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,403.60 : 784,637.10 = 347,256.60 : x
  2. Step 2: Convert to fraction form
    524,403.60/784,637.10 = 347,256.60/x
  3. Step 3: Cross multiply
    524,403.60x = 784,637.10 × 347,256.60
  4. Step 4: Simplify right side
    524,403.60x = 272,470,411,579.86
  5. Step 5: Solve for x
    x = 272,470,411,579.86/524,403.60
  6. Step 6: Final answer
    x = 519,581.50

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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.