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Finding the Fourth Proportional to 565,461.69, 780,345.05 and 307,338.56

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Solution

The fourth proportional to 565,461.69, 780,345.05 and 307,338.56 is: 424,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,461.69 : 780,345.05 = 307,338.56 : x
  2. Step 2: Convert to fraction form
    565,461.69/780,345.05 = 307,338.56/x
  3. Step 3: Cross multiply
    565,461.69x = 780,345.05 × 307,338.56
  4. Step 4: Simplify right side
    565,461.69x = 239,830,118,531.71
  5. Step 5: Solve for x
    x = 239,830,118,531.71/565,461.69
  6. Step 6: Final answer
    x = 424,131.51

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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.