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Finding the Fourth Proportional to 657,657.60, 986,486.40 and 433,271.40

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Solution

The fourth proportional to 657,657.60, 986,486.40 and 433,271.40 is: 649,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,657.60 : 986,486.40 = 433,271.40 : x
  2. Step 2: Convert to fraction form
    657,657.60/986,486.40 = 433,271.40/x
  3. Step 3: Cross multiply
    657,657.60x = 986,486.40 × 433,271.40
  4. Step 4: Simplify right side
    657,657.60x = 427,416,343,608.96
  5. Step 5: Solve for x
    x = 427,416,343,608.96/657,657.60
  6. Step 6: Final answer
    x = 649,907.10

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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.