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Finding the Fourth Proportional to 523,123.86, 784,681.50 and 346,421.52

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Solution

The fourth proportional to 523,123.86, 784,681.50 and 346,421.52 is: 519,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,123.86 : 784,681.50 = 346,421.52 : x
  2. Step 2: Convert to fraction form
    523,123.86/784,681.50 = 346,421.52/x
  3. Step 3: Cross multiply
    523,123.86x = 784,681.50 × 346,421.52
  4. Step 4: Simplify right side
    523,123.86x = 271,830,557,945.88
  5. Step 5: Solve for x
    x = 271,830,557,945.88/523,123.86
  6. Step 6: Final answer
    x = 519,629.44

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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.