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Finding the Fourth Proportional to 423,430.42, 584,331.48 and 229,841.98

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Solution

The fourth proportional to 423,430.42, 584,331.48 and 229,841.98 is: 317,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,430.42 : 584,331.48 = 229,841.98 : x
  2. Step 2: Convert to fraction form
    423,430.42/584,331.48 = 229,841.98/x
  3. Step 3: Cross multiply
    423,430.42x = 584,331.48 × 229,841.98
  4. Step 4: Simplify right side
    423,430.42x = 134,303,904,339.53
  5. Step 5: Solve for x
    x = 134,303,904,339.53/423,430.42
  6. Step 6: Final answer
    x = 317,180.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.