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Finding the Fourth Proportional to 553,962.40, 830,828.40 and 238,429.60

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Solution

The fourth proportional to 553,962.40, 830,828.40 and 238,429.60 is: 357,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,962.40 : 830,828.40 = 238,429.60 : x
  2. Step 2: Convert to fraction form
    553,962.40/830,828.40 = 238,429.60/x
  3. Step 3: Cross multiply
    553,962.40x = 830,828.40 × 238,429.60
  4. Step 4: Simplify right side
    553,962.40x = 198,094,083,080.64
  5. Step 5: Solve for x
    x = 198,094,083,080.64/553,962.40
  6. Step 6: Final answer
    x = 357,594.82

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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.