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Finding the Fourth Proportional to 509,011.20, 763,322.40 and 153,907.20

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Solution

The fourth proportional to 509,011.20, 763,322.40 and 153,907.20 is: 230,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,011.20 : 763,322.40 = 153,907.20 : x
  2. Step 2: Convert to fraction form
    509,011.20/763,322.40 = 153,907.20/x
  3. Step 3: Cross multiply
    509,011.20x = 763,322.40 × 153,907.20
  4. Step 4: Simplify right side
    509,011.20x = 117,480,813,281.28
  5. Step 5: Solve for x
    x = 117,480,813,281.28/509,011.20
  6. Step 6: Final answer
    x = 230,802.02

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