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Finding the Fourth Proportional to 295,329.84, 407,416.72 and 174,388.72

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Solution

The fourth proportional to 295,329.84, 407,416.72 and 174,388.72 is: 240,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,329.84 : 407,416.72 = 174,388.72 : x
  2. Step 2: Convert to fraction form
    295,329.84/407,416.72 = 174,388.72/x
  3. Step 3: Cross multiply
    295,329.84x = 407,416.72 × 174,388.72
  4. Step 4: Simplify right side
    295,329.84x = 71,048,880,307.40
  5. Step 5: Solve for x
    x = 71,048,880,307.40/295,329.84
  6. Step 6: Final answer
    x = 240,574.68

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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.