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Finding the Fourth Proportional to 405,140.60, 607,710.90 and 402,516.20

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Solution

The fourth proportional to 405,140.60, 607,710.90 and 402,516.20 is: 603,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,140.60 : 607,710.90 = 402,516.20 : x
  2. Step 2: Convert to fraction form
    405,140.60/607,710.90 = 402,516.20/x
  3. Step 3: Cross multiply
    405,140.60x = 607,710.90 × 402,516.20
  4. Step 4: Simplify right side
    405,140.60x = 244,613,482,166.58
  5. Step 5: Solve for x
    x = 244,613,482,166.58/405,140.60
  6. Step 6: Final answer
    x = 603,774.30

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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.