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Finding the Fourth Proportional to 405,223.40, 607,835.10 and 195,271.40

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Solution

The fourth proportional to 405,223.40, 607,835.10 and 195,271.40 is: 292,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,223.40 : 607,835.10 = 195,271.40 : x
  2. Step 2: Convert to fraction form
    405,223.40/607,835.10 = 195,271.40/x
  3. Step 3: Cross multiply
    405,223.40x = 607,835.10 × 195,271.40
  4. Step 4: Simplify right side
    405,223.40x = 118,692,810,946.14
  5. Step 5: Solve for x
    x = 118,692,810,946.14/405,223.40
  6. Step 6: Final answer
    x = 292,907.10

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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.