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Finding the Fourth Proportional to 369,106.40, 553,659.60 and 310,057.40

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Solution

The fourth proportional to 369,106.40, 553,659.60 and 310,057.40 is: 465,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,106.40 : 553,659.60 = 310,057.40 : x
  2. Step 2: Convert to fraction form
    369,106.40/553,659.60 = 310,057.40/x
  3. Step 3: Cross multiply
    369,106.40x = 553,659.60 × 310,057.40
  4. Step 4: Simplify right side
    369,106.40x = 171,666,256,061.04
  5. Step 5: Solve for x
    x = 171,666,256,061.04/369,106.40
  6. Step 6: Final answer
    x = 465,086.10

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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.