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Finding the Fourth Proportional to 553,657.20, 829,967.40 and 433,647.60

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Solution

The fourth proportional to 553,657.20, 829,967.40 and 433,647.60 is: 650,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,657.20 : 829,967.40 = 433,647.60 : x
  2. Step 2: Convert to fraction form
    553,657.20/829,967.40 = 433,647.60/x
  3. Step 3: Cross multiply
    553,657.20x = 829,967.40 × 433,647.60
  4. Step 4: Simplify right side
    553,657.20x = 359,913,371,088.24
  5. Step 5: Solve for x
    x = 359,913,371,088.24/553,657.20
  6. Step 6: Final answer
    x = 650,065.37

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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.