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Finding the Fourth Proportional to 564,235.24, 778,649.94 and 309,595.60

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Solution

The fourth proportional to 564,235.24, 778,649.94 and 309,595.60 is: 427,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,235.24 : 778,649.94 = 309,595.60 : x
  2. Step 2: Convert to fraction form
    564,235.24/778,649.94 = 309,595.60/x
  3. Step 3: Cross multiply
    564,235.24x = 778,649.94 × 309,595.60
  4. Step 4: Simplify right side
    564,235.24x = 241,066,595,364.26
  5. Step 5: Solve for x
    x = 241,066,595,364.26/564,235.24
  6. Step 6: Final answer
    x = 427,244.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.