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Finding the Fourth Proportional to 553,613.80, 830,420.70 and 354,159.40

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Solution

The fourth proportional to 553,613.80, 830,420.70 and 354,159.40 is: 531,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,613.80 : 830,420.70 = 354,159.40 : x
  2. Step 2: Convert to fraction form
    553,613.80/830,420.70 = 354,159.40/x
  3. Step 3: Cross multiply
    553,613.80x = 830,420.70 × 354,159.40
  4. Step 4: Simplify right side
    553,613.80x = 294,101,296,859.58
  5. Step 5: Solve for x
    x = 294,101,296,859.58/553,613.80
  6. Step 6: Final answer
    x = 531,239.10

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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.