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Finding the Fourth Proportional to 434,570.40, 584,803.80 and 434,570.40

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Solution

The fourth proportional to 434,570.40, 584,803.80 and 434,570.40 is: 584,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,570.40 : 584,803.80 = 434,570.40 : x
  2. Step 2: Convert to fraction form
    434,570.40/584,803.80 = 434,570.40/x
  3. Step 3: Cross multiply
    434,570.40x = 584,803.80 × 434,570.40
  4. Step 4: Simplify right side
    434,570.40x = 254,138,421,287.52
  5. Step 5: Solve for x
    x = 254,138,421,287.52/434,570.40
  6. Step 6: Final answer
    x = 584,803.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.