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Finding the Fourth Proportional to 569,064.16, 853,688.40 and 174,988

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Solution

The fourth proportional to 569,064.16, 853,688.40 and 174,988 is: 262,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,064.16 : 853,688.40 = 174,988 : x
  2. Step 2: Convert to fraction form
    569,064.16/853,688.40 = 174,988/x
  3. Step 3: Cross multiply
    569,064.16x = 853,688.40 × 174,988
  4. Step 4: Simplify right side
    569,064.16x = 149,385,225,739.20
  5. Step 5: Solve for x
    x = 149,385,225,739.20/569,064.16
  6. Step 6: Final answer
    x = 262,510.34

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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.