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Finding the Fourth Proportional to 419,364.25, 578,777.34 and 249,598.38

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Solution

The fourth proportional to 419,364.25, 578,777.34 and 249,598.38 is: 344,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,364.25 : 578,777.34 = 249,598.38 : x
  2. Step 2: Convert to fraction form
    419,364.25/578,777.34 = 249,598.38/x
  3. Step 3: Cross multiply
    419,364.25x = 578,777.34 × 249,598.38
  4. Step 4: Simplify right side
    419,364.25x = 144,461,886,444.71
  5. Step 5: Solve for x
    x = 144,461,886,444.71/419,364.25
  6. Step 6: Final answer
    x = 344,478.31

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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.