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Finding the Fourth Proportional to 719,875.38, 993,387.12 and 413,903.16

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Solution

The fourth proportional to 719,875.38, 993,387.12 and 413,903.16 is: 571,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,875.38 : 993,387.12 = 413,903.16 : x
  2. Step 2: Convert to fraction form
    719,875.38/993,387.12 = 413,903.16/x
  3. Step 3: Cross multiply
    719,875.38x = 993,387.12 × 413,903.16
  4. Step 4: Simplify right side
    719,875.38x = 411,166,068,071.30
  5. Step 5: Solve for x
    x = 411,166,068,071.30/719,875.38
  6. Step 6: Final answer
    x = 571,162.84

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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.