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Finding the Fourth Proportional to 690,547, 952,980.60 and 380,462.20

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Solution

The fourth proportional to 690,547, 952,980.60 and 380,462.20 is: 525,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,547 : 952,980.60 = 380,462.20 : x
  2. Step 2: Convert to fraction form
    690,547/952,980.60 = 380,462.20/x
  3. Step 3: Cross multiply
    690,547x = 952,980.60 × 380,462.20
  4. Step 4: Simplify right side
    690,547x = 362,573,095,633.32
  5. Step 5: Solve for x
    x = 362,573,095,633.32/690,547
  6. Step 6: Final answer
    x = 525,052.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.