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Finding the Fourth Proportional to 434,490.60, 652,319.10 and 277,415.40

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Solution

The fourth proportional to 434,490.60, 652,319.10 and 277,415.40 is: 416,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,490.60 : 652,319.10 = 277,415.40 : x
  2. Step 2: Convert to fraction form
    434,490.60/652,319.10 = 277,415.40/x
  3. Step 3: Cross multiply
    434,490.60x = 652,319.10 × 277,415.40
  4. Step 4: Simplify right side
    434,490.60x = 180,963,364,054.14
  5. Step 5: Solve for x
    x = 180,963,364,054.14/434,490.60
  6. Step 6: Final answer
    x = 416,495.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.