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Finding the Fourth Proportional to 405,352.49, 559,386.26 and 224,064.50

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Solution

The fourth proportional to 405,352.49, 559,386.26 and 224,064.50 is: 309,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,352.49 : 559,386.26 = 224,064.50 : x
  2. Step 2: Convert to fraction form
    405,352.49/559,386.26 = 224,064.50/x
  3. Step 3: Cross multiply
    405,352.49x = 559,386.26 × 224,064.50
  4. Step 4: Simplify right side
    405,352.49x = 125,338,602,931.91
  5. Step 5: Solve for x
    x = 125,338,602,931.91/405,352.49
  6. Step 6: Final answer
    x = 309,208.91

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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.