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Finding the Fourth Proportional to 514,555.84, 710,094.60 and 299,690.32

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Solution

The fourth proportional to 514,555.84, 710,094.60 and 299,690.32 is: 413,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,555.84 : 710,094.60 = 299,690.32 : x
  2. Step 2: Convert to fraction form
    514,555.84/710,094.60 = 299,690.32/x
  3. Step 3: Cross multiply
    514,555.84x = 710,094.60 × 299,690.32
  4. Step 4: Simplify right side
    514,555.84x = 212,808,477,904.27
  5. Step 5: Solve for x
    x = 212,808,477,904.27/514,555.84
  6. Step 6: Final answer
    x = 413,577.03

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1.5x scale

Why These Related Problems?

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