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Finding the Fourth Proportional to 364,583.40, 546,875.10 and 364,583.40

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Solution

The fourth proportional to 364,583.40, 546,875.10 and 364,583.40 is: 546,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,583.40 : 546,875.10 = 364,583.40 : x
  2. Step 2: Convert to fraction form
    364,583.40/546,875.10 = 364,583.40/x
  3. Step 3: Cross multiply
    364,583.40x = 546,875.10 × 364,583.40
  4. Step 4: Simplify right side
    364,583.40x = 199,381,583,333.34
  5. Step 5: Solve for x
    x = 199,381,583,333.34/364,583.40
  6. Step 6: Final answer
    x = 546,875.10

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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.