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Finding the Fourth Proportional to 459,006.30, 688,509.45 and 319,038.30

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Solution

The fourth proportional to 459,006.30, 688,509.45 and 319,038.30 is: 478,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006.30 : 688,509.45 = 319,038.30 : x
  2. Step 2: Convert to fraction form
    459,006.30/688,509.45 = 319,038.30/x
  3. Step 3: Cross multiply
    459,006.30x = 688,509.45 × 319,038.30
  4. Step 4: Simplify right side
    459,006.30x = 219,660,884,461.94
  5. Step 5: Solve for x
    x = 219,660,884,461.94/459,006.30
  6. Step 6: Final answer
    x = 478,557.45

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Similar ratio
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1.5x scale

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.