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Finding the Fourth Proportional to 594,276.64, 891,319.72 and 189,416.24

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Solution

The fourth proportional to 594,276.64, 891,319.72 and 189,416.24 is: 284,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,276.64 : 891,319.72 = 189,416.24 : x
  2. Step 2: Convert to fraction form
    594,276.64/891,319.72 = 189,416.24/x
  3. Step 3: Cross multiply
    594,276.64x = 891,319.72 × 189,416.24
  4. Step 4: Simplify right side
    594,276.64x = 168,830,430,000.25
  5. Step 5: Solve for x
    x = 168,830,430,000.25/594,276.64
  6. Step 6: Final answer
    x = 284,094.00

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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.